Precalculus Examples

$4 \log (8) w + 4 \log (8) u + 20 \log (8) v$

Step 1

Simplify each term.

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Step 1.1

Simplify $4 \log (8)$ by moving $4$ inside the logarithm.

$\log (8^{4}) w + 4 \log (8) u + 20 \log (8) v$

Step 1.2

Raise $8$ to the power of $4$ .

$\log (4096) w + 4 \log (8) u + 20 \log (8) v$

Step 1.3

Simplify $4 \log (8)$ by moving $4$ inside the logarithm.

$\log (4096) w + \log (8^{4}) u + 20 \log (8) v$

Step 1.4

Raise $8$ to the power of $4$ .

$\log (4096) w + \log (4096) u + 20 \log (8) v$

Step 1.5

Simplify $20 \log (8)$ by moving $20$ inside the logarithm.

$\log (4096) w + \log (4096) u + \log (8^{20}) v$

Step 1.6

Raise $8$ to the power of $20$ .

$\log (4096) w + \log (4096) u + \log (1152921504606850000) v$

Step 2

Reorder factors in $\log (4096) w + \log (4096) u + \log (1152921504606850000) v$ .

$w \log (4096) + u \log (4096) + v \log (1152921504606850000)$