Question

Solve 2 log x = log 36
Answer
x = 72
x = 6
x = ±6
x = 18

Answer 1

\[2\log(x)=\log(36)\]\[\log(x^2)=\log(36)\]\[x^2=36\]\[x=±6\]

Answer 2

\[\large 2\log(x)=\log(36)\]


\[\large \log(x^2)=\log(36)\]


\[\large x^2=36\]


\[\large x=\sqrt{36}\]


\[\large x = 6\]


Note: We're only dealing with the positive square root since x must be positive.

Answer 3

x must be positive because you cannot take the log of a negative number