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

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

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simplify log_{10}(z/(x^7))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{10} (x^{7}) : 7 lo g_{10} (x)

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

2 lo g_{10} (p) + 5 lo g_{10} (q) - lo g_{10} (r)

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

ln (\frac{x ^{5} \cdot ( 1 - x ) ^{45}}{A ^{5} B ^{45}})

0.22 5^{2} ln (8 \cdot 0.225)

lo g_{2} (\frac{75}{32})

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