What is log_{10}((5^9)/(\sqrt[3]{-)9*5}) ?

The solution to log_{10}((5^9)/(\sqrt[3]{-)9*5}) is 8log_{10}(5)-2log_{10}(3)-log_{10}(\sqrt[3]{})

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simplify log_{10}((5^9)/(\sqrt[3]{-)9*5})

simplify

Solution steps

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (5^{9}) = 9 lo g_{10} (5)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (9) = 2 lo g_{10} (3)

Simplify

59.7 ln (\frac{173}{285})

0.2149 + ln (- 1.045) + ln (1.5891) + ln (- 0.7544)

\frac{8 ( ln ∣ x + 3 ∣ - ln ∣ x + 4 ∣ )}{x}

lo g_{10} (x + 2) - 2 lo g_{10} (x)

ln (150 e^{- x})

What is log_{10}((5^9)/(\sqrt[3]{-)9*5}) ?
The solution to log_{10}((5^9)/(\sqrt[3]{-)9*5}) is 8log_{10}(5)-2log_{10}(3)-log_{10}(\sqrt[3]{})