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Popular >

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

Solution

simplify

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

Solution

ln (x^{\frac{1}{2}} c)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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