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Popular >

simplify log_{4}((16)/(x^4))

Solution

simplify

lo g_{4} (\frac{16}{x ^{4}})

Solution

2 - 4 lo g_{4} (x)

Solution steps

lo g_{4} (\frac{16}{x ^{4}})

Apply log rule:

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

lo g_{4} (\frac{16}{x ^{4}}) = lo g_{4} (16) - lo g_{4} (x^{4})

= lo g_{4} (16) - lo g_{4} (x^{4})

lo g_{4} (16) = 2

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

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

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Frequently Asked Questions (FAQ)

What is log_{4}((16)/(x^4)) ?
The solution to log_{4}((16)/(x^4)) is 2-4log_{4}(x)