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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

simplify ln(e)+ln(1/10)simplify

ln (e) + ln (\frac{1}{10})

simplify ln(x^2y^2)simplify

ln (x^{2} y^{2})

simplify log_{2}(7/11 e^{15/4})simplify

lo g_{2} (\frac{7}{11} e^{\frac{15}{4}})

expand-2.55log_{10}(B/(Bo))expand

- 2.55 lo g_{10} (\frac{B}{B o})

simplify ((0.35)^2*13.86)/(100*61)*ln(113/100)simplify

\frac{( 0.35 ) ^{2} \cdot 13.86}{100 \cdot 61} \cdot ln (\frac{113}{100})

Frequently Asked Questions (FAQ)

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