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Mathematics 14 Online
OpenStudy (anonymous):

Can someone help me with solving an equation in logarithmic form?

OpenStudy (anonymous):

I think you rewrite it in exponential form or something. But the method is hard to ascertain if you won't give an example.

OpenStudy (anonymous):

\[\log_{2} \sqrt[3]{1/4} \]

OpenStudy (anonymous):

you can rewrite this as \[\frac{1}{3}\log_{2}\frac{1}{4}\]

OpenStudy (anonymous):

2 to what power equals 1/4?

OpenStudy (anonymous):

that is the power rule of exponents btw. a logarithm is an exponent

OpenStudy (anonymous):

What did you get for the answer?

OpenStudy (anonymous):

do you know what power you need to raise 2 to to get 1/4? 2^x=1/4 x=?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

\[2^{-2}=\frac{1}{4}\]

OpenStudy (anonymous):

\[\frac{1}{3}\log_{2}\frac{1}{4}=\frac{1}{3}(-2)=\frac{-2}{3}\]

OpenStudy (anonymous):

okay I get it now. thank you.

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