Maths-
General
Easy
Question
Solve for x-
(3/5)(x+1)/3 = 625 / 81
Hint:
In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a n times.
The correct answer is: Value of x for the given equation is -13.
Step-by-step solution:-
(3/5)(x+1)/3 = 625 / 81
∴ (3/5)(x+1)/3 = 54 / 34
∴ (3/5)(x+1)/3 = (5/3)4 ….................................................. [an/bn = (a/b)n]
∴ (3/5)(x+1)/3 = (3/5)-4 ….............................................
∴ (x+1)/3 = -4
∴ x+1 = -4×3
∴ x+1 = -12
∴ x = -12 - 1
∴ x = -13
Final Answer:-
∴ Value of x for the given equation is -13.
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