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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

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3 lo g_{7} (x) - 4 lo g_{7} (y)

simplify ln((6.09)/(9.42*10^{-3)})*0.0002 simplify

ln (\frac{6.09}{9.42 \cdot 1 0 ^{- 3}}) \cdot 0.0002

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ln (\frac{249}{3999})

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Frequently Asked Questions (FAQ)

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