What is expand log_{10}(3x^2) ?

The solution to expand log_{10}(3x^2) is log_{10}(3)+2log_{10}(x)

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expand log_{10}(3x^2)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= lo g_{10} (3) + 2 lo g_{10} (x)

\frac{3}{2} ln (- 1)

- ln (3) - ln (5)

ln (\frac{283}{373})

lo g_{3} (\frac{5}{ln ( 3 )})

ln (x) + ln (y^{2})

What is expand log_{10}(3x^2) ?
The solution to expand log_{10}(3x^2) is log_{10}(3)+2log_{10}(x)