What is log_{b}((x^4)/(z^2)) ?

The solution to log_{b}((x^4)/(z^2)) is 4log_{b}(x)-2log_{b}(z)

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simplify log_{b}((x^4)/(z^2))

simplify

lo g_{b} (\frac{x ^{4}}{z ^{2}})

4 lo g_{b} (x) - 2 lo g_{b} (z)

Solution steps

lo g_{b} (\frac{x ^{4}}{z ^{2}})

Apply log rule:

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

lo g_{b} (\frac{x ^{4}}{z ^{2}}) = lo g_{b} (x^{4}) - lo g_{b} (z^{2})

= lo g_{b} (x^{4}) - lo g_{b} (z^{2})

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

lo g_{b} (z^{2}) = 2 lo g_{b} (z)

= 4 lo g_{b} (x) - 2 lo g_{b} (z)

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

2 ln (x) + 3 ln (x + 1)

ln (e (x - 8))

ln (a e^{b})

lo g_{2} (45) - lo g_{2} (5)

What is log_{b}((x^4)/(z^2)) ?
The solution to log_{b}((x^4)/(z^2)) is 4log_{b}(x)-2log_{b}(z)