Question

find the missing exponent. 2^ =1/4

Answer 1

.8

Answer 2

\(\Huge\color{blue}{ \sf 2^x=1/4 }\)

\[\Huge\color{blue}{ \sf \log(2^x)=\log(1/4) }\]

\[\Huge\color{blue}{ \sf xlog(2)=\log(1/4) }\]

\[\Huge\color{blue}{ \sf x=\log(1/4) \div \log(2) }\]

\[\Huge\color{blue}{ \sf x=\log_2(1/4) }\]

Answer 3

I don't have a calculator with me, sorry.