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

The solution to expand log_{10}((ab)^2) is 2log_{10}(a)+2log_{10}(b)

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expand log_{10}((ab)^2)

expand

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

2 lo g_{10} (a) + 2 lo g_{10} (b)

Solution steps

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

Apply log rule:

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

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

= 2 lo g_{10} (ab)

Apply log rule:

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

2 lo g_{10} (ab) = 2 lo g_{10} (a) + 2 lo g_{10} (b)

= 2 lo g_{10} (a) + 2 lo g_{10} (b)

ln (x) - 3 ln (x + 1)

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

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

ln (\frac{1}{20})

lo g_{7} (\frac{x ^{4}}{x ^{3}})

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