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Popular >

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

Solution

simplify

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

Solution

ln (\frac{( x + 2 ) ^{4}}{x})

Solution steps

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

Apply log rule:

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

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

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

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

((x + 2)^{2})^{2} = (x + 2)^{4}

= ln (\frac{( x + 2 ) ^{4}}{x})

Popular Examples

simplify (14*0.89)/(60*0.58)*ln(1/(1-0.1))simplify

\frac{14 \cdot 0.89}{60 \cdot 0.58} \cdot ln (\frac{1}{1 - 0.1})

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2 ln (x^{3} y) + 3 ln (y z^{3})

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6 (ln (5) - ln (2))

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simplify ln(1/((1-0.9)))simplify

ln (\frac{1}{( 1 - 0.9 )})

Frequently Asked Questions (FAQ)

What is 2ln((x+2)^2)-ln(x) ?
The solution to 2ln((x+2)^2)-ln(x) is ln(((x+2)^4)/x)