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Popular >

simplify ln(x)+1/2 ln(1+u)

Solution

simplify

ln (x) + \frac{1}{2} ln (1 + u)

Solution

ln (x (1 + u)^{\frac{1}{2}})

Solution steps

ln (x) + \frac{1}{2} ln (1 + u)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{2} ln (u + 1) = ln ((u + 1)^{\frac{1}{2}})

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

Popular Examples

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Frequently Asked Questions (FAQ)

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