Question

solve log x/log 3=log 25/log 9​

Answer 1

Answer:

log x/log5 = log9/log(1/3)

logx/log5=3log2/(-log3)

log x = -2log5

log x=log1/25

therefore; x=1/25

Explanation:

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Answer 2

Answer:

The value of $x$ is $\bold{5}$.

Explanation:

Given that $\frac{log x}{log 3} =\frac{log 25 }{log 9}$

Now we rewrite the given equation as

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

Now apply the logarithm property $log x^a=alog x$ in the above equation, we get

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

By canceling the like terms we get

$logx=log 5$

By canceling log on both sides, we have

$x=5$

Hence, The value of $x$ is $\bold{5}$.