Answer
$6^{3x+1}=30$
$\log_{6}30=3x+1$
$\log_{6}30-1=3x$
$\frac{\log_{6}30-1}{3}=x$
$\frac{0.8982}{3}=x$
$0.2994=x$
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:
$6^{3x+1}=30$
$\log_{6}30=3x+1$
$\log_{6}30-1=3x$
$\frac{\log_{6}30-1}{3}=x$
$\frac{0.8982}{3}=x$
$0.2994=x$
