Write as a Single Logarithm log base 7 of 50- log base 7 of 5

$\log_{7} (50) - \log_{7} (5)$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log_{7} (\frac{50}{5})$

Step 2

Divide $50$ by $5$ .

$\log_{7} (10)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{7} (10)$

Decimal Form:

$1.18329466 \dots$