Logarithmic Expression Value

For some positive ral number x, if $\log_{\sqrt{3}} (x)$ + $\frac{\log_{x} 25}{\log_{x} (0.008)}$ = $\frac{16}{3}$ , then the value of $\log_{3} (3 x^{2})$ is

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CAT 2023 Slot-2

Logarithms

Medium

Logarithmic Expression Value

For some positive ral number x, if $\log_{\sqrt{3}} (x)$ + $\frac{\log_{x} 25}{\log_{x} (0.008)}$ = $\frac{16}{3}$ , then the value of $\log_{3} (3 x^{2})$ is

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