+0

# What is x?

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4^x/3=1/12

Jan 15, 2020

#1
+1

x is a letter.

Jan 15, 2020
#2
+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