Algebra Examples

$\log_{4} (5 x) + \log_{4} (3 x)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{4} (5 x (3 x))$

Step 2

Rewrite using the commutative property of multiplication.

$\log_{4} (5 \cdot 3 x \cdot x)$

Step 3

Multiply $x$ by $x$ by adding the exponents.

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Step 3.1

Move $x$ .

$\log_{4} (5 \cdot 3 (x \cdot x))$

Step 3.2

Multiply $x$ by $x$ .

$\log_{4} (5 \cdot 3 x^{2})$

Step 4

Multiply $5$ by $3$ .

$\log_{4} (15 x^{2})$