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

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

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expand log_{10}(12x^2)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

20 lo g_{10} (\frac{4 π}{\frac{1}{8}}) - 20 lo g_{10} (0.5)

- (\frac{3}{8} lo g_{2} (\frac{3}{8}) + \frac{5}{8} lo g_{2} (\frac{5}{8}))

5 lo g_{7} (2 x) - \frac{1}{3} lo g_{7} (5 x - 1)

ln (θ e^{θ} x^{- θ - 1})

lo g_{10} (x^{3} \cdot y^{2})

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