For this problem, we are given a certain exponential equation. We need to solve it for "r".
The equation is:
[tex]20^r=56[/tex]The first step is to apply a logarithm on both sides:
[tex]\begin{gathered} \log20^r=\log56 \\ \end{gathered}[/tex]Now we can use the exponent rule to isolate the "r"
[tex]\begin{gathered} r\log20=\log56\\ \\ r=\frac{\log56}{\log20}=1.34369 \end{gathered}[/tex]The real solution for this problem is 1.34.
