Algebra Examples

$\log (x) = \log (3) + \log (5)$

Step 1

Simplify the right side.

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Step 1.1

Simplify $\log (3) + \log (5)$ .

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Step 1.1.1

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

$\log (x) = \log (3 \cdot 5)$

Step 1.1.2

Multiply $3$ by $5$ .

$\log (x) = \log (15)$

Step 2

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

$x = 15$