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Popular >

simplify 2ln(x+3)-ln(x-2)

Solution

simplify

2 ln (x + 3) - ln (x - 2)

Solution

ln (\frac{( x + 3 ) ^{2}}{x - 2})

Solution steps

2 ln (x + 3) - ln (x - 2)

Apply log rule:

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

2 ln (x + 3) = ln ((x + 3)^{2})

= ln ((x + 3)^{2}) - ln (x - 2)

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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