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Popular >

simplify ln((16)/(x^2))

Solution

simplify

ln (\frac{16}{x ^{2}})

Solution

4 ln (2) - 2 ln (x)

Solution steps

ln (\frac{16}{x ^{2}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{16}{x ^{2}}) = ln (16) - ln (x^{2})

= ln (16) - ln (x^{2})

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= ln (16) - 2 ln (x)

ln (16) = 4 ln (2)

= 4 ln (2) - 2 ln (x)

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Frequently Asked Questions (FAQ)

What is ln((16)/(x^2)) ?
The solution to ln((16)/(x^2)) is 4ln(2)-2ln(x)