What is log_{10}((x^5)/z) ?

The solution to log_{10}((x^5)/z) is 5log_{10}(x)-log_{10}(z)

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simplify log_{10}((x^5)/z)

simplify

lo g_{10} (\frac{x ^{5}}{z})

5 lo g_{10} (x) - lo g_{10} (z)

Solution steps

lo g_{10} (\frac{x ^{5}}{z})

Apply log rule:

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

lo g_{10} (\frac{x ^{5}}{z}) = lo g_{10} (x^{5}) - lo g_{10} (z)

= lo g_{10} (x^{5}) - lo g_{10} (z)

Simplify

lo g_{10} (x^{5}) : 5 lo g_{10} (x)

= 5 lo g_{10} (x) - lo g_{10} (z)

lo g_{b} (\frac{x ^{2} - 1}{x ^{2} - 4})

lo g_{10} (\frac{4 x ^{3}}{y ^{2} ( x - 1 ) ^{5}})

10 ln (3 x) - [ln (3 x)]^{2}

ln (\frac{1}{θ} \cdot [1 - \frac{1}{θ}]^{x - 1})

ln (3 b \frac{b + 1}{b - 1})

What is log_{10}((x^5)/z) ?
The solution to log_{10}((x^5)/z) is 5log_{10}(x)-log_{10}(z)