What is log_{10}((y^8)/z) ?

The solution to log_{10}((y^8)/z) is 8log_{10}(y)-log_{10}(z)

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simplify log_{10}((y^8)/z)

simplify

lo g_{10} (\frac{y ^{8}}{z})

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

Solution steps

lo g_{10} (\frac{y ^{8}}{z})

Apply log rule:

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

lo g_{10} (\frac{y ^{8}}{z}) = lo g_{10} (y^{8}) - lo g_{10} (z)

= lo g_{10} (y^{8}) - lo g_{10} (z)

Simplify

lo g_{10} (y^{8}) : 8 lo g_{10} (y)

= 8 lo g_{10} (y) - lo g_{10} (z)

lo g_{13} (\frac{13}{y})

lo g_{4} (21) - lo g_{4} (3)

lo g_{8} (a^{6} b^{5})

lo g_{10} (15) - 2 lo g_{10} (10) + lo g_{10} (60)

6 lo g_{3} (x) + 12 lo g_{3} (y)

What is log_{10}((y^8)/z) ?
The solution to log_{10}((y^8)/z) is 8log_{10}(y)-log_{10}(z)