Trigonometry Examples

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

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

Step 1

Rewrite using the commutative property of multiplication.

4 \log_{x} (3 m) n

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

Step 2

Simplify

4 \log_{x} (3 m)

$4 \log_{x} (3 m)$ by moving

4

$4$ inside the logarithm.

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

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

Step 3

Apply the product rule to

3 m

$3 m$ .

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

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

Step 4

Raise

3

$3$ to the power of

4

$4$ .

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

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

Step 5

Reorder factors in

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

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

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

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

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

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

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