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Popular >

simplify log_{2}(a/(4b^2))

Solution

simplify

lo g_{2} (\frac{a}{4 b ^{2}})

Solution

lo g_{2} (a) - 2 - 2 lo g_{2} (b)

Solution steps

lo g_{2} (\frac{a}{4 b ^{2}})

Apply log rule:

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

lo g_{2} (\frac{a}{4 b ^{2}}) = lo g_{2} (a) - lo g_{2} (4 b^{2})

= lo g_{2} (a) - lo g_{2} (4 b^{2})

Simplify

lo g_{2} (4 b^{2}) : 2 + 2 lo g_{2} (b)

= lo g_{2} (a) - (2 + 2 lo g_{2} (b))

Apply the distributive law:

- (a + b) = - a - b

- (2 + 2 lo g_{2} (b)) = - 2 - 2 lo g_{2} (b)

= lo g_{2} (a) - 2 - 2 lo g_{2} (b)

Popular Examples

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- 65 ln (\frac{40}{13})

simplify-log_{10}((0.00174*660+10*2.35)/(670))simplify

- lo g_{10} (\frac{0.00174 \cdot 660 + 10 \cdot 2.35}{670})

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(lo g_{c} (x) - lo g_{c} (y)) + 2 lo g_{c} (v)

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ln (\frac{1}{2.7})

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2 ln (\frac{401}{2})

Frequently Asked Questions (FAQ)

What is log_{2}(a/(4b^2)) ?
The solution to log_{2}(a/(4b^2)) is log_{2}(a)-2-2log_{2}(b)