What is log_{10}(a)+2log_{10}(b) ?

The solution to log_{10}(a)+2log_{10}(b) is log_{10}(ab^2)

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simplify log_{10}(a)+2log_{10}(b)

simplify

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

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

Solution steps

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

Apply log rule:

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

2 lo g_{10} (b) = lo g_{10} (b^{2})

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

\frac{1}{2} lo g_{c} (x) + 3 lo g_{c} (y) - 2 lo g_{c} (x)

ln (\frac{x}{e ^{8 x}})

\frac{1}{2} ln (x) - ln (y)

\frac{1}{2} (lo g_{5} (a) + lo g_{5} (b))

2 ln (x - 2) - ln (x) - 1

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