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

The solution to log_{10}(a)+2log_{10}(c) is log_{10}(ac^2)

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (2 sinh (\frac{h w}{2 k x}))

8 ln ∣ 8 x + 1 ∣ - 8 ln ∣ x + 1 ∣

ln (\frac{k}{n}) - e^{a t + c}

ln (x (x - 3)^{2})

ln (x) - ln (y) - ln (z)

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