Answer:
[tex] 27^\left(\frac{1}{3}\right)=3[/tex]
Step-by-step explanation:
Given logarithmic equation is
[tex]\log_{27}\left(3\right)=\frac{1}{3}[/tex]
Question says to rewrite the given logarithmic equation as an exponential equation.
so we can apply transformation formula :
[tex]\log_{b}\left(c\right)=a => c=b^a[/tex]
Using this formula, given problem can be transformed into exponential equation as:
[tex]\log_{27}\left(3\right)=\frac{1}{3} => {27}\left(\frac{1}{3}\right)=3[/tex]
Hence final answer is [tex] 27^\left(\frac{1}{3}\right)=3[/tex]
