Write as a Single Logarithm log base 4 of 5+ log base 4 of b+ log base 4 of c- log base 4 of d

$\log_{4} (5) + \log_{4} (b) + \log_{4} (c) - \log_{4} (d)$

Step 1

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

$\log_{4} (5 b) + \log_{4} (c) - \log_{4} (d)$

Step 2

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

$\log_{4} (5 b c) - \log_{4} (d)$

Step 3

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

$\log_{4} (\frac{5 b c}{d})$