Answer:
The log equation is given such as
[tex]\log _{5x}\left(x\right)=\frac{7}{2}[/tex]
The log equation as an exponential equation is:
[tex]\:5x^{\frac{7}{2}}=x[/tex]
Step-by-step explanation:
Given
The log equation is given such as
[tex]\log _{5x}\left(x\right)=\frac{7}{2}[/tex]
To determine
Write the log equation as an exponential equation.
Given the log equation
[tex]\log _{5x}\left(x\right)=\frac{7}{2}[/tex]
Apply the logarithmic definition.
[tex]\log _ab=n\:\:\:\:\Rightarrow \:\:\:a^n=b[/tex]
Thus,
[tex]\:5x^{\frac{7}{2}}=x[/tex]
