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 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

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.