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Popular >

simplify 1/2 (ln(x-1)-ln(3))

Solution

simplify

\frac{1}{2} (ln (x - 1) - ln (3))

Solution

\frac{1}{2} ln (\frac{x - 1}{3})

Solution steps

\frac{1}{2} (ln (x - 1) - ln (3))

Apply log rule:

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

ln (x - 1) - ln (3) = ln (\frac{x - 1}{3})

= \frac{1}{2} ln (\frac{x - 1}{3})

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\frac{π}{8} ln (2)

Frequently Asked Questions (FAQ)

What is 1/2 (ln(x-1)-ln(3)) ?
The solution to 1/2 (ln(x-1)-ln(3)) is 1/2 ln((x-1)/3)