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Find the numerical value of the log expression

Find the numerical value of the log expression-example-1

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Answer: -98

Explanation:

Using log knowledge you can simplify this original question to be


c\sqrt[3]{b^2} \sqrt[3]{c}

Knowing this is divided by a^8 we can simplify this even further by being


log(c) + log(\sqrt[3]{b^2}) +log(\sqrt[3]{c})

Finally after rewriting log(a^8) as
8log(a)

We finally are left with the equation


log(c)+log(\sqrt[3]{b^2} )+log(\sqrt[3]{c} )-8log(a)

Plugging in the values you provided

This equates to

-9 - 6 - 3 - 80

Which is equal to -98

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