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

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

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expand log_{10}(2x^2)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (x) + ln (4)

1 + lo g_{10} (a) - \frac{1}{3} lo g_{10} (b)

ln 10 - 0.9 x^{2} - ln ∣ 10 - 0.9 x_{0} ∣

lo g_{9} (\frac{8 ^{2}}{5 ^{4}})

4 lo g_{3} (x) + 2 lo g_{3} (y)

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