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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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lo g_{4} (12 \times 3)

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Frequently Asked Questions (FAQ)

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