A log equation in exponential form

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Quandaries & Queries

Question from Sarah, a student:

Express the equation in Exponential form

log2 to the 16th power=4

Hi Sarah,

If you take the statement

\[\log a = b\]

and raise both sides to the tenth power you get

\[10^{\log a} = 10^b.\]

But $10^{\log a} = a$ so the equation becomes

\[a = 10^b.\]

Try this method with your equation $\log 2^{16} = 4.$ Raise both sides to the tenth power and see what you get.

Penny

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