what is value of log 3√8 base √2
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Answer:
6
Step-by-step explanation:
log of any value is power to which the base has to be increased to get that value
hence,
log_{\sqrt{2}} 8 =log
2
8= the power to which \sqrt{2}
2
has to be raised to get the value "8"
\sqrt{2} ^{n} = 2^{3}
2
n
=2
3
Squaring both sides,
\begin{lgathered}2^{n} = 2^{6}\\ n=6\end{lgathered}
2
n
=2
6
n=6
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