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4^x/3=1/12

 Jan 15, 2020
 #1
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+1

x is a letter.

 Jan 15, 2020
 #2
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+1

\(\frac{4^x}{3}=\frac{1}{12}\) Multiply both sides by 3

\(4^x=\frac{1}{4}\) Take log using the law: \(a^b=c\) = \(log_ac=b\)

\(log_4\frac{1}{4}=x\) Evaluate by indices laws  or by calculator. Indeed we know that 4^-1=1/4 so,

\(log_4\frac{1}{4}\)= -1 

Therefore, 

x= -1 

 Jan 16, 2020
edited by Guest  Jan 16, 2020

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