Question

solve 3 power x is equals to 5 power x - 2 ​

Answer 1

this is answer with correct explanation

Answer 2

The value of x is 6.30.

Step-by-step explanation:

Given : Expression $3^x = 5^{x-2}$

To find : Solve the expression ?

Solution :

$3^x = 5^{x-2}$

Taking log both the sides,

$\log 3^x = \log 5^{x-2}$

Applying logarithmic property, $\log n^a = a \log n$

$x \log 3 = (x-2) \log 5$

$x \log 3 = x \log 5 - 2\log 5$

$2\log 5 = x \log 5 - x \log 3$

$2 \log 5 = x (\log 5 - \log 3)$

$x=\frac{2 \log 5}{\log 5 - \log 3}$

$x=6.30$

Therefore, the value of x is 6.30.

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Solve log x -log (x-1) = log 3,find x​

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