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Popular >

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

Solution

simplify

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

Solution

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

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Frequently Asked Questions (FAQ)

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