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

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

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

expand

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

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

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

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

Apply log rule:

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

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

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

ln (x) - \frac{1}{2} ln (x^{2} + 1)

ln (ab) + ln (\frac{a}{e})

lo g_{2} (x^{5})

lo g_{a} (\frac{x ^{3} y}{z ^{2}})

- lo g_{10} (6 \times 1 0^{- 5})

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