What is log_{b}(a/(c^2)) ?

The solution to log_{b}(a/(c^2)) is log_{b}(a)-2log_{b}(c)

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simplify log_{b}(a/(c^2))

simplify

lo g_{b} (\frac{a}{c ^{2}})

lo g_{b} (a) - 2 lo g_{b} (c)

Solution steps

lo g_{b} (\frac{a}{c ^{2}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{b} (\frac{a}{c ^{2}}) = lo g_{b} (a) - lo g_{b} (c^{2})

= lo g_{b} (a) - lo g_{b} (c^{2})

Simplify

lo g_{b} (c^{2}) : 2 lo g_{b} (c)

= lo g_{b} (a) - 2 lo g_{b} (c)

4 lo g_{10} (\frac{x}{5}) + lo g_{10} (\frac{625}{4})

ln (\frac{2 x ^{2} y}{z ^{4}})

lo g_{5} (3 x + 2) - lo g_{5} (x)

(lo g_{a} (x) - lo g_{a} (y)) + 8 lo g_{a} (v)

lo g_{10} (\frac{64}{z})

What is log_{b}(a/(c^2)) ?
The solution to log_{b}(a/(c^2)) is log_{b}(a)-2log_{b}(c)