Answer
$5.3*10^{x}=2$
$10^x=\frac{2}{5.3}=0.3774$
$\log_{10}0.3774=x$
$-0.4232=x$
Work Step by Step
The definition of the logarithm function can be translated into mathematical formulas such as the following. The given expressions are equivalent.
The exponential form: $b^{x}=a$
The logarithmic form: $\log_{b}a=x$.
The given equation can be solved with the logarithmic form, therefore we shall transform it:
$5.3*10^{x}=2$
$10^x=\frac{2}{5.3}=0.3774$
$\log_{10}0.3774=x$
$-0.4232=x$