What is expand log_{10}((u^4)/v) ?

The solution to expand log_{10}((u^4)/v) is 4log_{10}(u)-log_{10}(v)

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expand log_{10}((u^4)/v)

expand

lo g_{10} (\frac{u ^{4}}{v})

4 lo g_{10} (u) - lo g_{10} (v)

Solution steps

lo g_{10} (\frac{u ^{4}}{v})

Apply log rule:

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

lo g_{10} (\frac{u ^{4}}{v}) = lo g_{10} (u^{4}) - lo g_{10} (v)

= lo g_{10} (u^{4}) - lo g_{10} (v)

Apply log rule:

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

lo g_{10} (u^{4}) = 4 lo g_{10} (u)

= 4 lo g_{10} (u) - lo g_{10} (v)

lo g_{b} (10) + lo g_{b} (7)

lo g_{2} (\frac{e ^{2}}{4})

ln (2 x + 1) + ln (x - 1) - 2 ln (x)

lo g_{2} (x^{2}) - 3 lo g_{2} (x + 1) + lo g_{4} (3 x)

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

What is expand log_{10}((u^4)/v) ?
The solution to expand log_{10}((u^4)/v) is 4log_{10}(u)-log_{10}(v)