Answer
$12$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of logarithms to simplify the given expression, $
\log 10^{12}
.$
$\bf{\text{Solution Details:}}$
Using the Power Rule of Logarithms, which is given by $\log_b x^y=y\log_bx,$ the expression above is equivalent
\begin{array}{l}\require{cancel}
12\log 10
.\end{array}
Since $\log_b b=1,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
12\log_{10} 10
\\\\=
12(1)
\\\\=
12
.\end{array}
