Precalculus Examples

$\log (6) + x \log (4) + \log (32 + 4^{x})$

Step 1

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

$x \log (4) + \log (6 (32 + 4^{x}))$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$x \log (4) + \log (6 \cdot 32 + 6 \cdot 4^{x})$

Step 2.2

Multiply $6$ by $32$ .

$x \log (4) + \log (192 + 6 \cdot 4^{x})$