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Popular >

simplify log_{2}((x^5)/8)

Solution

simplify

lo g_{2} (\frac{x ^{5}}{8})

Solution

5 lo g_{2} (x) - 3

Solution steps

lo g_{2} (\frac{x ^{5}}{8})

Apply log rule:

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

lo g_{2} (\frac{x ^{5}}{8}) = lo g_{2} (x^{5}) - lo g_{2} (8)

= lo g_{2} (x^{5}) - lo g_{2} (8)

lo g_{2} (x^{5}) = 5 lo g_{2} (x)

lo g_{2} (8) = 3

= 5 lo g_{2} (x) - 3

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Frequently Asked Questions (FAQ)

What is log_{2}((x^5)/8) ?
The solution to log_{2}((x^5)/8) is 5log_{2}(x)-3