What is log_{10}(12)+2log_{10}(x) ?

The solution to log_{10}(12)+2log_{10}(x) is log_{10}(12x^2)

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simplify log_{10}(12)+2log_{10}(x)

simplify

lo g_{10} (12) + 2 lo g_{10} (x)

lo g_{10} (12 x^{2})

Solution steps

lo g_{10} (12) + 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} (12) + lo g_{10} (x^{2})

Apply log rule:

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

lo g_{10} (12) + lo g_{10} (x^{2}) = lo g_{10} (12 x^{2})

= lo g_{10} (12 x^{2})

5 ln (x) - 3 ln (y)

lo g_{b} (z^{3} y)

lo g_{10} (a) - 7 lo g_{10} (b)

lo g_{10} (2 x^{3})

ln (1 + y) - ln (y)

What is log_{10}(12)+2log_{10}(x) ?
The solution to log_{10}(12)+2log_{10}(x) is log_{10}(12x^2)