What is log_{10}((a^2b)/c) ?

The solution to log_{10}((a^2b)/c) is 2log_{10}(a)+log_{10}(b)-log_{10}(c)

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simplify log_{10}((a^2b)/c)

simplify

lo g_{10} (\frac{a ^{2} b}{c})

2 lo g_{10} (a) + lo g_{10} (b) - lo g_{10} (c)

Solution steps

lo g_{10} (\frac{a ^{2} b}{c})

Apply log rule:

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

lo g_{10} (\frac{a ^{2} b}{c}) = lo g_{10} (a^{2} b) - lo g_{10} (c)

= lo g_{10} (a^{2} b) - lo g_{10} (c)

Simplify

lo g_{10} (a^{2} b) : 2 lo g_{10} (a) + lo g_{10} (b)

= 2 lo g_{10} (a) + lo g_{10} (b) - lo g_{10} (c)

ln (\frac{e ^{2}}{14})

5 ln (x) + 2 ln (y) - 4 ln (z)

lo g_{10} (k^{2} - 100) - lo g_{10} (k - 10)

ln (\frac{x ^{2} - 1}{x ^{9}})

What is log_{10}((a^2b)/c) ?
The solution to log_{10}((a^2b)/c) is 2log_{10}(a)+log_{10}(b)-log_{10}(c)