Mathematics

Grade10

Easy

Question

Find the value of x if $left parenthesis 16 right parenthesis to the power of left parenthesis x minus 3 right parenthesis end exponent equals left parenthesis 2 right parenthesis to the power of left parenthesis x minus 6 right parenthesis end exponent$ .

0
1
2
4

hint Hint:

If bases are equal , equate the power

The correct answer is: 2

$left parenthesis 16 right parenthesis to the power of left parenthesis x minus 3 right parenthesis end exponent equals left parenthesis 2 right parenthesis to the power of left parenthesis x minus 6 right parenthesis end exponent$
$left parenthesis 2 right parenthesis to the power of left parenthesis 4 x minus 12 right parenthesis end exponent equals left parenthesis 2 right parenthesis to the power of left parenthesis x minus 6 right parenthesis end exponent$
$4 space x minus 12 equals x minus 6$
$3 space x equals 6$
$x equals 2$

If $f left parenthesis x right parenthesis equals 7.4 to the power of x$ , then what is the value of f(x) if x = 5?

MathematicsGrade10

Grade10

Mathematics

The range of the exponential function $f left parenthesis x right parenthesis equals 4.6 to the power of x$ is ________.

MathematicsGrade10

Grade10

Mathematics

The initial amount of the exponential function $f left parenthesis x right parenthesis equals 9.7 to the power of x$ is _________.

MathematicsGrade10

Grade10

Mathematics

The y-intercept of the function is ___________.

MathematicsGrade10

Grade10

Mathematics

The value of a if $f left parenthesis x right parenthesis equals a.3 to the power of x$ is ______.

x f(x)

0 6

1 18

2 54

3 162

MathematicsGrade10

Grade10

Mathematics

If $f left parenthesis x right parenthesis equals 4.5 to the power of x$ , then what is the value of $f left parenthesis x right parenthesis$ if $x equals 3$ ?

MathematicsGrade10

Grade10

Mathematics

Find the domain of the exponential function given.

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Find the domain of the exponential function given.

MathematicsGrade10

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Grade10

Mathematics

The range of the exponential function $f left parenthesis x right parenthesis equals 5.2 to the power of x$ is _________.

MathematicsGrade10

Grade10

Mathematics

The total weight of a carton box is $7 to the power of x over 3 end exponent$ and the weight of each box of chocolates is $7 to the power of x over 13 end exponent$ . Find the value of x if the carton box is filled with 49 boxes.

MathematicsGrade10

Grade10

Mathematics

An exponential function ___________.

MathematicsGrade10

Grade10

Mathematics

Observe the graph of the exponential function.
Find the domain of the function.

MathematicsGrade10

Grade10

Mathematics

Observe the graph of the exponential function.
Identify the y-intercept of the function.

MathematicsGrade10

Grade10

Mathematics

Observe the graph of the exponential function.
The range of the function is ____________.

MathematicsGrade10

Grade10

Mathematics

Combine the scientific notations.
$open parentheses 7 cross times 10 squared close parentheses open parentheses 5.2 cross times 10 to the power of 7 close parentheses$

MathematicsGrade10

Grade10

Mathematics

In February 2022, the population of the world was approximately 7900 000 000 people.
Another way of writing this number is

MathematicsGrade10

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Can’t find what you’re looking for?

Find the value of x if .

0124

If bases are equal , equate the power

The correct answer is: 2

Related Questions to study

If , then what is the value of f(x) if x = 5?

If , then what is the value of f(x) if x = 5?

The range of the exponential function is ________.

The range of the exponential function is ________.

The initial amount of the exponential function is _________.

The initial amount of the exponential function is _________.

The y-intercept of the function is ___________.

The y-intercept of the function is ___________.

The value of a if is ______. x f(x) 0 6 1 18 2 54 3 162

The value of a if is ______. x f(x) 0 6 1 18 2 54 3 162

If , then what is the value of if ?

If , then what is the value of if ?

Find the domain of the exponential function given.

Find the domain of the exponential function given.

The range of the exponential function is _________.

The range of the exponential function is _________.

The total weight of a carton box is and the weight of each box of chocolates is . Find the value of x if the carton box is filled with 49 boxes.

The total weight of a carton box is and the weight of each box of chocolates is . Find the value of x if the carton box is filled with 49 boxes.

An exponential function ___________.

An exponential function ___________.

Observe the graph of the exponential function.Find the domain of the function.

Observe the graph of the exponential function.Find the domain of the function.

Observe the graph of the exponential function.Identify the y-intercept of the function.

Observe the graph of the exponential function.Identify the y-intercept of the function.

Observe the graph of the exponential function.The range of the function is ____________.

Observe the graph of the exponential function.The range of the function is ____________.

Combine the scientific notations.

Combine the scientific notations.

In February 2022, the population of the world was approximately 7900 000 000 people.Another way of writing this number is

In February 2022, the population of the world was approximately 7900 000 000 people.Another way of writing this number is

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Find the value of x if $left parenthesis 16 right parenthesis to the power of left parenthesis x minus 3 right parenthesis end exponent equals left parenthesis 2 right parenthesis to the power of left parenthesis x minus 6 right parenthesis end exponent$ .

0
1
2
4

If $f left parenthesis x right parenthesis equals 7.4 to the power of x$ , then what is the value of f(x) if x = 5?

If $f left parenthesis x right parenthesis equals 7.4 to the power of x$ , then what is the value of f(x) if x = 5?

The range of the exponential function $f left parenthesis x right parenthesis equals 4.6 to the power of x$ is ________.

The range of the exponential function $f left parenthesis x right parenthesis equals 4.6 to the power of x$ is ________.

The initial amount of the exponential function $f left parenthesis x right parenthesis equals 9.7 to the power of x$ is _________.

The initial amount of the exponential function $f left parenthesis x right parenthesis equals 9.7 to the power of x$ is _________.

The value of a if $f left parenthesis x right parenthesis equals a.3 to the power of x$ is ______.

x f(x)

0 6

1 18

2 54

3 162

The value of a if $f left parenthesis x right parenthesis equals a.3 to the power of x$ is ______.

x f(x)

0 6

1 18

2 54

3 162

If $f left parenthesis x right parenthesis equals 4.5 to the power of x$ , then what is the value of $f left parenthesis x right parenthesis$ if $x equals 3$ ?

If $f left parenthesis x right parenthesis equals 4.5 to the power of x$ , then what is the value of $f left parenthesis x right parenthesis$ if $x equals 3$ ?

The range of the exponential function $f left parenthesis x right parenthesis equals 5.2 to the power of x$ is _________.

The range of the exponential function $f left parenthesis x right parenthesis equals 5.2 to the power of x$ is _________.

The total weight of a carton box is $7 to the power of x over 3 end exponent$ and the weight of each box of chocolates is $7 to the power of x over 13 end exponent$ . Find the value of x if the carton box is filled with 49 boxes.

The total weight of a carton box is $7 to the power of x over 3 end exponent$ and the weight of each box of chocolates is $7 to the power of x over 13 end exponent$ . Find the value of x if the carton box is filled with 49 boxes.

Observe the graph of the exponential function.
Find the domain of the function.

Observe the graph of the exponential function.
Find the domain of the function.

Observe the graph of the exponential function.
Identify the y-intercept of the function.

Observe the graph of the exponential function.
Identify the y-intercept of the function.

Observe the graph of the exponential function.
The range of the function is ____________.

Observe the graph of the exponential function.
The range of the function is ____________.

Combine the scientific notations.
$open parentheses 7 cross times 10 squared close parentheses open parentheses 5.2 cross times 10 to the power of 7 close parentheses$

Combine the scientific notations.
$open parentheses 7 cross times 10 squared close parentheses open parentheses 5.2 cross times 10 to the power of 7 close parentheses$

In February 2022, the population of the world was approximately 7900 000 000 people.
Another way of writing this number is

In February 2022, the population of the world was approximately 7900 000 000 people.
Another way of writing this number is