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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

lo g_{8} (k^{2} - 64) - lo g_{8} (k - 8)

lo g_{10} (\frac{m ^{2} + n}{100})

lo g_{2} (\frac{8}{y})

2 ln (\frac{53}{2}) + 12

lo g_{10} (\frac{a ^{2} \times b}{c})

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