Ask Me Help Desk - make y the subject of the formula x=2^y

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make y the subject of the formula x=2^y

make y the subject of the formula x=2^y (were 2^y mean 2 to the power Y)

Quote:

Originally Posted by emk200

make y the subject of the formula x=2^y (were 2^y mean 2 to the power Y)

Take the log base 2 of both side.

$<br /> \log _2 x = \log_2 (2^y) <br />$

and recall that $\log _ a (a^b) = b$

$2^y=x \to \log_2 {x}=y$
note: $\log_2 {x}=\frac {\log_{10} {x}}{\log_{10} 2}$
exaple: $3^2=9 \to \log_3 {9}=2$

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