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Popular >

simplify ln(x^4-1)-ln(x^2-1)

Solution

simplify

ln (x^{4} - 1) - ln (x^{2} - 1)

Solution

ln (x^{2} + 1)

Solution steps

ln (x^{4} - 1) - ln (x^{2} - 1)

Apply log rule:

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

ln (x^{4} - 1) - ln (x^{2} - 1) = ln (\frac{x ^{4} - 1}{x ^{2} - 1})

= ln (\frac{x ^{4} - 1}{x ^{2} - 1})

Simplify

\frac{x ^{4} - 1}{x ^{2} - 1} : x^{2} + 1

= ln (x^{2} + 1)

Popular Examples

simplify-log_{10}(4.1*10^{-2})simplify

- lo g_{10} (4.1 \cdot 1 0^{- 2})

simplify 1/2 log_{10}(m)+log_{10}(n)simplify

\frac{1}{2} lo g_{10} (m) + lo g_{10} (n)

simplify ln(x^7sqrt(3-x))simplify

ln (x^{7} 3 - x)

simplify log_{10}(5a)+log_{10}(4b)simplify

lo g_{10} (5 a) + lo g_{10} (4 b)

simplify log_{4}(1/x)simplify

lo g_{4} (\frac{1}{x})

Frequently Asked Questions (FAQ)

What is ln(x^4-1)-ln(x^2-1) ?
The solution to ln(x^4-1)-ln(x^2-1) is ln(x^2+1)