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Popular >

simplify log_{4}((x^2)/5)

Solution

simplify

lo g_{4} (\frac{x ^{2}}{5})

Solution

lo g_{2} (x) - lo g_{4} (5)

Solution steps

lo g_{4} (\frac{x ^{2}}{5})

Apply log rule:

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

lo g_{4} (\frac{x ^{2}}{5}) = lo g_{4} (x^{2}) - lo g_{4} (5)

= lo g_{4} (x^{2}) - lo g_{4} (5)

Simplify

lo g_{4} (x^{2}) : lo g_{2} (x)

= lo g_{2} (x) - lo g_{4} (5)

Popular Examples

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lo g_{10} (1 x)

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

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Frequently Asked Questions (FAQ)

What is log_{4}((x^2)/5) ?
The solution to log_{4}((x^2)/5) is log_{2}(x)-log_{4}(5)