Write as a Single Logarithm 4 log of 8- log of 10

$4 \log (8) - \log (10)$

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

$\log (8^{4}) - \log (10)$

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

$\log (4096) - \log (10)$

Logarithm base $10$ of $10$ is $1$ .

$\log (4096) - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$\log (4096) - 1$

The result can be shown in multiple forms.

Exact Form:

$\log (4096) - 1$

Decimal Form:

$2.61235994 \dots$