Question

Evaluate using the properties of logarithms: ⓐ${\log }_{13}1$ ⓑ ${\log }_{9}9$.

Short answer

ⓐ value of the ${\log }_{13}1$is$0$

ⓑ value of the ${\log }_{9}9$is$1$

Step-by-step solution

Step 1. given data

Given logarithm expressions are

ⓐ${\log }_{13}\left(1\right)$

ⓑ${\log }_9\left(9\right)$

Step 2. solution of part (a)

Use the logarithm property ${\log }_a\left(1\right)=0$

sorole="math" localid="1644939720203" ${\log }_{13}\left(1\right)=0$

Step 3. solution of part (b)

Use the logarithm property ${\log }_a\left(a\right)=1$

so${\log }_9\left(9\right)=1$