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Popular >

simplify ln(1/(y^2-1))

Solution

simplify

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

Solution

- ln (y^{2} - 1)

Solution steps

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

Apply log rule:

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

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

= ln (1) - ln (y^{2} - 1)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (y^{2} - 1)

0 - ln (y^{2} - 1) = - ln (y^{2} - 1)

= - ln (y^{2} - 1)

Popular Examples

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ln (4.64) - ln (10.733)

simplify 182000*[ln(0.4)-ln(1.3)]simplify

182000 \cdot [ln (0.4) - ln (1.3)]

simplify 2+2log_{10}(x)-3/2 log_{10}(y)simplify

2 + 2 lo g_{10} (x) - \frac{3}{2} lo g_{10} (y)

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

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ln (\frac{1.5 \cdot 1 0 ^{4}}{1.5 \cdot 1 0 ^{10}})

Frequently Asked Questions (FAQ)

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