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Popular >

simplify log_{4}(48)-1/2 log_{4}(9)

Solution

simplify

lo g_{4} (48) - \frac{1}{2} lo g_{4} (9)

Solution

2

Solution steps

lo g_{4} (48) - \frac{1}{2} lo g_{4} (9)

Apply log rule:

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

- \frac{1}{2} lo g_{4} (9) = - lo g_{4} (9^{\frac{1}{2}})

= lo g_{4} (48) - lo g_{4} (9^{\frac{1}{2}})

Apply log rule:

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

lo g_{4} (48) - lo g_{4} (9^{\frac{1}{2}}) = lo g_{4} (\frac{48}{9 ^{\frac{1}{2}}})

= lo g_{4} (\frac{48}{9 ^{\frac{1}{2}}})

\frac{48}{9 ^{\frac{1}{2}}} = 4^{2}

= lo g_{4} (4^{2})

Apply log rule:

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

= 2

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z^{4} + 64

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\frac{5}{15} \cdot 100

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- \frac{1}{2} + 1

Frequently Asked Questions (FAQ)

What is log_{4}(48)-1/2 log_{4}(9) ?
The solution to log_{4}(48)-1/2 log_{4}(9) is 2