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

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

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expand log_{10}((3x-2)^2)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{\frac{1}{4}} (\frac{1}{160})

ln x + x^{2} + 25 + C - ln (5)

ln (\frac{( sin ( x ^{2} ) ) ^{'}}{( cos ( 2 x ) ) ^{'}})

- ln (10) + ln (5)

ln (\frac{3 x - 2 y}{2 x + 2 y})

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