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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

expand log_{7}(x(x-10))expand

lo g_{7} (x (x - 10))

simplify 2log_{x}(-3log_{10}(x+1))simplify

2 lo g_{x} (- 3 lo g_{10} (x + 1))

simplify (19.16)/(0.0004*0.02)ln(1/(1-0.9))simplify

\frac{19.16}{0.0004 \cdot 0.02} ln (\frac{1}{1 - 0.9})

simplify 2(log_{7}(x)+3log_{7}(y)-5log_{7}(z))simplify

2 (lo g_{7} (x) + 3 lo g_{7} (y) - 5 lo g_{7} (z))

simplify 4.18*ln((343.15)/(278.15))simplify

4.18 \cdot ln (\frac{343.15}{278.15})

Frequently Asked Questions (FAQ)

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