Precalculus Examples

$\log (\sqrt[21]{7.59}) {(2463)}^{50}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[21]{7.59}$ as ${7.59}^{\frac{1}{21}}$ .

$\log ({7.59}^{\frac{1}{21}}) {(2463)}^{50}$

Step 2

Expand $\log ({7.59}^{\frac{1}{21}})$ by moving $\frac{1}{21}$ outside the logarithm.

$\frac{1}{21} \log (7.59) {(2463)}^{50}$

Step 3

Log base $10$ of $7.59$ is approximately $0.88024177$ .

$\frac{1}{21} \cdot 0.88024177 {(2463)}^{50}$

Step 4

Combine $\frac{1}{21}$ and $0.88024177$ .

$\frac{0.88024177}{21} {(2463)}^{50}$

Step 5

Divide $0.88024177$ by $21$ .

$0.04191627 {(2463)}^{50}$

Step 6

Remove parentheses.

$0.04191627 \cdot 2463^{50}$