What is log_{10}((a^4)/(b^5)) ?

The solution to log_{10}((a^4)/(b^5)) is 4log_{10}(a)-5log_{10}(b)

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simplify log_{10}((a^4)/(b^5))

simplify

lo g_{10} (\frac{a ^{4}}{b ^{5}})

4 lo g_{10} (a) - 5 lo g_{10} (b)

Solution steps

lo g_{10} (\frac{a ^{4}}{b ^{5}})

Apply log rule:

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

lo g_{10} (\frac{a ^{4}}{b ^{5}}) = lo g_{10} (a^{4}) - lo g_{10} (b^{5})

= lo g_{10} (a^{4}) - lo g_{10} (b^{5})

lo g_{10} (a^{4}) = 4 lo g_{10} (a)

lo g_{10} (b^{5}) = 5 lo g_{10} (b)

= 4 lo g_{10} (a) - 5 lo g_{10} (b)

lo g_{b} (\frac{1}{18})

lo g_{10} (x^{2} + 3 x + 2) - 2 lo g_{10} (x + 1)

2 lo g_{a} (\frac{y}{z})

lo g_{10} ((\frac{6}{11})^{5})

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

What is log_{10}((a^4)/(b^5)) ?
The solution to log_{10}((a^4)/(b^5)) is 4log_{10}(a)-5log_{10}(b)