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Popular >

simplify ln(4^{1/2})-ln(x^2)

Solution

simplify

ln (4^{\frac{1}{2}}) - ln (x^{2})

Solution

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

Solution steps

ln (4^{\frac{1}{2}}) - ln (x^{2})

Apply log rule:

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

ln (4^{\frac{1}{2}}) - ln (x^{2}) = ln (\frac{4 ^{\frac{1}{2}}}{x ^{2}})

= ln (\frac{4 ^{\frac{1}{2}}}{x ^{2}})

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

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

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Frequently Asked Questions (FAQ)

What is ln(4^{1/2})-ln(x^2) ?
The solution to ln(4^{1/2})-ln(x^2) is ln(2/(x^2))