Precalculus Examples

$10^{\frac{\log (1.625)}{6}} - 1$

Step 1

Simplify each term.

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Step 1.1

Rewrite $\frac{\log (1.625)}{6}$ as $\frac{1}{6} \log (1.625)$ .

$10^{\frac{1}{6} \log (1.625)} - 1$

Step 1.2

Simplify $\frac{1}{6} \log (1.625)$ by moving $\frac{1}{6}$ inside the logarithm.

$10^{\log ({1.625}^{\frac{1}{6}})} - 1$

Step 1.3

Exponentiation and log are inverse functions.

${1.625}^{\frac{1}{6}} - 1$

Step 1.4

Raise $1.625$ to the power of $\frac{1}{6}$ .

$1.08428194 - 1$

Step 2

Subtract $1$ from $1.08428194$ .

$0.08428194$