What is log_{10}(x+5)+2log_{10}(x) ?

The solution to log_{10}(x+5)+2log_{10}(x) is log_{10}((x+5)x^2)

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simplify log_{10}(x+5)+2log_{10}(x)

simplify

lo g_{10} (x + 5) + 2 lo g_{10} (x)

lo g_{10} ((x + 5) x^{2})

Solution steps

lo g_{10} (x + 5) + 2 lo g_{10} (x)

Apply log rule:

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

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

= lo g_{10} (x + 5) + lo g_{10} (x^{2})

Apply log rule:

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

lo g_{10} (x + 5) + lo g_{10} (x^{2}) = lo g_{10} (x^{2} (x + 5))

= lo g_{10} ((x + 5) x^{2})

ln (2 e^{- y})

ln (\frac{- x}{e})

lo g_{10} (d) + 8 lo g_{10} (q)

lo g_{2} (\frac{32}{x - 1})

ln (e^{- 3 x} 2 x - 5) - ln ((6 - 5 x)^{4})

What is log_{10}(x+5)+2log_{10}(x) ?
The solution to log_{10}(x+5)+2log_{10}(x) is log_{10}((x+5)x^2)