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Question:

If $\log_{k} x \times \log_{7} k = 2$ , then find the value of x

Explanation:

Given, $\log_{k} x \times \log_{7} k = 2$

we know,

$\log_{a} b = \frac{\log_{c} b}{\log_{c} a} ∴ \frac{\log x}{\log k} \times \frac{\log k}{\log 7} = 2 \Rightarrow \frac{\log x}{\log 7} = 2 \Rightarrow \log_{7} x = 2 \Rightarrow x = 7^{2} = 49$

Hence, option (d).

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