Precalculus Examples

$10^{\frac{\log (\frac{1.16}{0.79})}{5}}$

Step 1

Rewrite $\frac{\log (\frac{1.16}{0.79})}{5}$ as $\frac{1}{5} \log (\frac{1.16}{0.79})$ .

$10^{\frac{1}{5} \log (\frac{1.16}{0.79})}$

Step 2

Simplify $\frac{1}{5} \log (\frac{1.16}{0.79})$ by moving $\frac{1}{5}$ inside the logarithm.

$10^{\log ({(\frac{1.16}{0.79})}^{\frac{1}{5}})}$

Step 3

Exponentiation and log are inverse functions.

${(\frac{1.16}{0.79})}^{\frac{1}{5}}$

Step 4

Divide $1.16$ by $0.79$ .

${1.46835443}^{\frac{1}{5}}$

Step 5

Raise $1.46835443$ to the power of $\frac{1}{5}$ .

$1.07985683$