Precalculus Examples

$\log (5) \cdot 8 - \log (5) t$

Step 1

Simplify each term.

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Step 1.1

Multiply $\log (5) \cdot 8$ .

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Step 1.1.1

Reorder $\log (5)$ and $8$ .

$8 \cdot \log (5) - \log (5) t$

Step 1.1.2

Simplify $8 \cdot \log (5)$ by moving $8$ inside the logarithm.

$\log (5^{8}) - \log (5) t$

Step 1.2

Raise $5$ to the power of $8$ .

$\log (390625) - \log (5) t$

Step 2

Reorder factors in $\log (390625) - \log (5) t$ .

$\log (390625) - t \log (5)$