Precalculus Examples

$7 \log (3) u + 4 \log (3) v$

Step 1

Simplify each term.

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Step 1.1

Simplify $7 \log (3)$ by moving $7$ inside the logarithm.

$\log (3^{7}) u + 4 \log (3) v$

Step 1.2

Raise $3$ to the power of $7$ .

$\log (2187) u + 4 \log (3) v$

Step 1.3

Simplify $4 \log (3)$ by moving $4$ inside the logarithm.

$\log (2187) u + \log (3^{4}) v$

Step 1.4

Raise $3$ to the power of $4$ .

$\log (2187) u + \log (81) v$

Step 2

Reorder factors in $\log (2187) u + \log (81) v$ .

$u \log (2187) + v \log (81)$