Answer
$4*1.5^{2x-1}=8$
$1.5^{2x-1}=\frac{8}{4}=2$
$\log_{1.5}2=2x-1$
$\log_{1.06}2.2+1=2x$
$\frac{\log_{1.06}2.2+1}{2}=x$
$\frac{2.7095}{2}=x$
$1.3548=x$
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:
$4*1.5^{2x-1}=8$
$1.5^{2x-1}=\frac{8}{4}=2$
$\log_{1.5}2=2x-1$
$\log_{1.06}2.2+1=2x$
$\frac{\log_{1.06}2.2+1}{2}=x$
$\frac{2.7095}{2}=x$
$1.3548=x$
