Answer
$x=\sqrt{10}\approx 3.1623$
Work Step by Step
Divide $3$ to both sides:
$\dfrac{3\log{x}}{3}=\dfrac{1.5}{3}$
$\log{x}=0.5$
Recall the definition of a logarithm (pg. 451):
$\log_{b}{x}=y$ iff $b^y=x$
Applying this definition to our equation (with $b=10, y=0.5, x=x$), we get:
$10^{0.5}=x$
$x=\sqrt{10}\approx 3.1623$
We confirm that the answer works:
$3\log{\sqrt{10}}=1.5$
$3\cdot \frac{1}{2}=1.5$
$1.5=1.5$
