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Popular >

simplify ln(x-3)-ln(-3+x)

Solution

simplify

ln (x - 3) - ln (- 3 + x)

Solution

0

Solution steps

ln (x - 3) - ln (- 3 + x)

Apply log rule:

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

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

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

Apply rule

\frac{a}{a} = 1

= ln (1)

Apply log rule:

lo g_{a} (1) = 0

= 0

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Frequently Asked Questions (FAQ)

What is ln(x-3)-ln(-3+x) ?
The solution to ln(x-3)-ln(-3+x) is 0