Question

Find the value of Log 256 bass√2

Answer 1

Step-by-step explanation:

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Answer 2

The value of $f(x)=\log_{\sqrt{2}}256$ is 16.

Step-by-step explanation:

The expression is:

$f(x)=\log_{\sqrt{2}}256$

Simplify the expression as follows:

$f(x)=\log_{\sqrt{2}}256$

       $=\log_{\sqrt{2}}(2^{8})$

       $=8\times \log_{2^{1/2}}2\\=2\times 8 \times \log_{2}2\\=16$

Thus, the value of $f(x)=\log_{\sqrt{2}}256$ is 16.

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