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anonymous
 3 years ago
4^x=12
anonymous
 3 years ago
4^x=12

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0this is sometimes called the "change of base" formula in your case \(A=12,b=4\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Log 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...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\log 4^{x} = \log 12\] \[x \log 4 = \log 12 \] \[x = \log 12\div \log 4 \]
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