What is log_{a}(3)+2log_{a}(x) ?

The solution to log_{a}(3)+2log_{a}(x) is log_{a}(3x^2)

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simplify log_{a}(3)+2log_{a}(x)

simplify

lo g_{a} (3) + 2 lo g_{a} (x)

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

Solution steps

lo g_{a} (3) + 2 lo g_{a} (x)

Apply log rule:

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

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

= lo g_{a} (3) + lo g_{a} (x^{2})

Apply log rule:

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

lo g_{a} (3) + lo g_{a} (x^{2}) = lo g_{a} (3 x^{2})

= lo g_{a} (3 x^{2})

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

ln (850) - ln (900)

ln (1 + x) - ln (1 + y)

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

ln (1.9 + 2) - ln (1.9 - 2)

What is log_{a}(3)+2log_{a}(x) ?
The solution to log_{a}(3)+2log_{a}(x) is log_{a}(3x^2)