What is expand log_{10}((x^3)/7) ?

The solution to expand log_{10}((x^3)/7) is 3log_{10}(x)-log_{10}(7)

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expand log_{10}((x^3)/7)

expand

lo g_{10} (\frac{x ^{3}}{7})

3 lo g_{10} (x) - lo g_{10} (7)

Solution steps

lo g_{10} (\frac{x ^{3}}{7})

Apply log rule:

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

lo g_{10} (\frac{x ^{3}}{7}) = lo g_{10} (x^{3}) - lo g_{10} (7)

= lo g_{10} (x^{3}) - lo g_{10} (7)

Apply log rule:

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

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

= 3 lo g_{10} (x) - lo g_{10} (7)

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

ln (x^{5}) - ln (x^{2})

4 lo g_{m} (w - 7) - 6 lo g_{m} (w + 7)

ln (\frac{5}{12 x})

- ln (csc (x) + cot (x)) - ln tan (\frac{x}{2})

What is expand log_{10}((x^3)/7) ?
The solution to expand log_{10}((x^3)/7) is 3log_{10}(x)-log_{10}(7)