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

Solution

simplify

3 ln (x + 2) - ln (x - 1)

Solution

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

Solution steps

3 ln (x + 2) - ln (x - 1)

Apply log rule:

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

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

= ln ((x + 2)^{3}) - ln (x - 1)

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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