Precalculus Examples

$3 \log_{7} (u) + 8 \log_{7} (v)$

Step 1

Simplify each term.

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Step 1.1

Simplify $3 \log_{7} (u)$ by moving $3$ inside the logarithm.

$\log_{7} (u^{3}) + 8 \log_{7} (v)$

Step 1.2

Simplify $8 \log_{7} (v)$ by moving $8$ inside the logarithm.

$\log_{7} (u^{3}) + \log_{7} (v^{8})$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{7} (u^{3} v^{8})$