Question

log root2 ^128, find value ​

Answer 1

$Value \:of \: log (\sqrt{2})^{128} \\= log 2^{\frac{128}{2} } \\= log 2^{64} \\= 64 log 2$

$\boxed { \pink { log x^{m} = m log x }}$

Therefore.,

$\red{Value \:of \: log (\sqrt{2})^{128}}\green {= 64 log 2}$

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Answer 2

Answer= log root 2 ^128 =14