Simplify/Condense log base 4 of 60- log base 4 of 4+ log base 4 of x

$\log_{4} (60) - \log_{4} (4) + \log_{4} (x)$

Step 1

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

$\log_{4} (\frac{60}{4}) + \log_{4} (x)$

Step 2

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

$\log_{4} (\frac{60}{4} x)$

Step 3

Divide $60$ by $4$ .

$\log_{4} (15 x)$