Trigonometry Examples

$\log_{x} (3 m) (4 n)$

Step 1

Rewrite using the commutative property of multiplication.

$4 \log_{x} (3 m) n$

Step 2

Simplify $4 \log_{x} (3 m)$ by moving $4$ inside the logarithm.

$\log_{x} ({(3 m)}^{4}) n$

Step 3

Apply the product rule to $3 m$ .

$\log_{x} (3^{4} m^{4}) n$

Step 4

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

$\log_{x} (81 m^{4}) n$

Step 5

Reorder factors in $\log_{x} (81 m^{4}) n$ .

$n \log_{x} (81 m^{4})$