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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

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 - 1)

Apply log rule:

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

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

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

Popular Examples

simplify log_{10}(1/(sqrt(u^2+v^2)))simplify

lo g_{10} (\frac{1}{u ^{2} + v ^{2}})

simplify log_{10}(x)-2*log_{10}(y)+5*log_{10}(z)simplify

lo g_{10} (x) - 2 \cdot lo g_{10} (y) + 5 \cdot lo g_{10} (z)

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lo g_{4} (2) + lo g_{4} (x)

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lo g_{3} (\frac{27}{x + 4})

simplify 9/2 ln(9/2)simplify

\frac{9}{2} ln (\frac{9}{2})

Frequently Asked Questions (FAQ)

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