Precalculus Examples

$3 \log (5) u + 4 \log (5) z$

Step 1

Simplify each term.

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Step 1.1

Simplify $3 \log (5)$ by moving $3$ inside the logarithm.

$\log (5^{3}) u + 4 \log (5) z$

Step 1.2

Raise $5$ to the power of $3$ .

$\log (125) u + 4 \log (5) z$

Step 1.3

Simplify $4 \log (5)$ by moving $4$ inside the logarithm.

$\log (125) u + \log (5^{4}) z$

Step 1.4

Raise $5$ to the power of $4$ .

$\log (125) u + \log (625) z$

Step 2

Reorder factors in $\log (125) u + \log (625) z$ .

$u \log (125) + z \log (625)$