What is log_{10}((x^4)/(y^3)) ?

The solution to log_{10}((x^4)/(y^3)) is 4log_{10}(x)-3log_{10}(y)

Popular >

simplify log_{10}((x^4)/(y^3))

simplify

lo g_{10} (\frac{x ^{4}}{y ^{3}})

4 lo g_{10} (x) - 3 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x ^{4}}{y ^{3}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{x ^{4}}{y ^{3}}) = lo g_{10} (x^{4}) - lo g_{10} (y^{3})

= lo g_{10} (x^{4}) - lo g_{10} (y^{3})

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

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

= 4 lo g_{10} (x) - 3 lo g_{10} (y)

\frac{1}{3} ln ∣ 3 y + 1 ∣ + C - \frac{1}{4} ln ∣ 4 x - 3 ∣ + C

\frac{1}{2} lo g_{c} (x) + 5 lo g_{c} (y) - 3 lo g_{c} (x)

ln 2 + 3 - ln 2 + 1

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

ln (\frac{x ^{9} x ^{2} + 3}{( x + 3 ) ^{6}})

What is log_{10}((x^4)/(y^3)) ?
The solution to log_{10}((x^4)/(y^3)) is 4log_{10}(x)-3log_{10}(y)