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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

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

lo g_{10} (\frac{6 ( x + 4 ) ^{3}}{x ^{5}})

lo g_{10} (\frac{x ^{3}}{y ^{5}})

lo g_{2} (11) - lo g_{2} (9)

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

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