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Popular >

simplify log_{2}(8^{10/3})

Solution

simplify

lo g_{2} (8^{\frac{10}{3}})

Solution

10

Solution steps

lo g_{2} (8^{\frac{10}{3}})

8^{\frac{10}{3}} = 2^{10}

= lo g_{2} (2^{10})

Apply log rule:

lo g_{a} (a^{b}) = b

= 10

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Frequently Asked Questions (FAQ)

What is log_{2}(8^{10/3}) ?
The solution to log_{2}(8^{10/3}) is 10