Algebra Examples

$5^{\log_{5} (6) + \log_{5} (7)}$

Step 1

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

$5^{\log_{5} (6 \cdot 7)}$

Step 2

Exponentiation and log are inverse functions.

$6 \cdot 7$

Step 3

Multiply $6$ by $7$ .

$42$