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Maths-

General

Easy

Question

The value of $3 to the power of log subscript 4 end subscript invisible function application 5 end exponent minus 5 to the power of log subscript 4 end subscript invisible function application 3 end exponent$ is

0
1
2
None of these

The correct answer is: 0

Let $3 to the power of log subscript 4 end subscript invisible function application 5 end exponent equals a rightwards double arrow log subscript 4 end subscript invisible function application 5 equals l o g subscript 3 end subscript a rightwards double arrow fraction numerator log invisible function application 5 over denominator l o g blank 4 end fraction equals fraction numerator log invisible function application a over denominator log invisible function application 3 end fraction$
$rightwards double arrow fraction numerator log invisible function application a over denominator log invisible function application 5 end fraction equals fraction numerator log invisible function application 3 over denominator log invisible function application 4 end fraction rightwards double arrow log subscript 5 end subscript invisible function application a equals log subscript 4 end subscript invisible function application 3$
$rightwards double arrow a equals 5 to the power of log subscript 4 end subscript invisible function application 3 end exponent rightwards double arrow 3 to the power of log subscript 4 end subscript invisible function application 5 end exponent minus 5 to the power of log subscript 4 end subscript invisible function application 3 end exponent equals 0$

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