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Mathematics 13 Online
OpenStudy (anonymous):

4^x=12

OpenStudy (anonymous):

\[b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\]

OpenStudy (anonymous):

this is sometimes called the "change of base" formula in your case \(A=12,b=4\)

OpenStudy (anonymous):

Log both sides so u get log 4^x =log 12. therefore by law of logs x log 4 = log 12. so x=log 12/log 4...

OpenStudy (anonymous):

thank you so much

OpenStudy (anonymous):

\[\log 4^{x} = \log 12\] \[x \log 4 = \log 12 \] \[x = \log 12\div \log 4 \]

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