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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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