What is simplify-5log_{6}(5x) ?

The solution to simplify-5log_{6}(5x) is -5log_{6}(5)-5log_{6}(x)

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simplify-5log_{6}(5x)

simplify

- 5 lo g_{6} (5 x)

- 5 lo g_{6} (5) - 5 lo g_{6} (x)

Solution steps

- 5 lo g_{6} (5 x)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{6} (5 x) = lo g_{6} (5) + lo g_{6} (x)

= - 5 (lo g_{6} (5) + lo g_{6} (x))

Apply the distributive law:

a (b + c) = ab + a c

- 5 (lo g_{6} (5) + lo g_{6} (x)) = - 5 lo g_{6} (5) - 5 lo g_{6} (x)

= - 5 lo g_{6} (5) - 5 lo g_{6} (x)

lo g_{b} (\frac{x ^{2} \cdot y}{z ^{4}})

lo g_{10} (3) - lo g_{10} (6) - lo g_{10} (5)

9 ln (x) - \frac{1}{3} ln (y)

lo g_{b} (\frac{p ^{4} q ^{6}}{m ^{4} b ^{9}})

lo g_{10} (\frac{10}{x ^{2} y})

What is simplify-5log_{6}(5x) ?
The solution to simplify-5log_{6}(5x) is -5log_{6}(5)-5log_{6}(x)