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Popular >

simplify ln(x^5)-ln(x)

Solution

simplify

ln (x^{5}) - ln (x)

Solution

ln (x^{4})

Solution steps

ln (x^{5}) - ln (x)

Apply log rule:

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

ln (x^{5}) - ln (x) = ln (\frac{x ^{5}}{x})

= ln (\frac{x ^{5}}{x})

Cancel the common factor:

x

= ln (x^{4})

Popular Examples

simplify-4ln(x)+ln(5y)-ln(4z)simplify

- 4 ln (x) + ln (5 y) - ln (4 z)

simplify 1/3 log_{10}(a)-1/2 (log_{10}(b)-log_{10}(c))simplify

\frac{1}{3} lo g_{10} (a) - \frac{1}{2} (lo g_{10} (b) - lo g_{10} (c))

simplify log_{2}(6)-log_{2}(15)-log_{2}(20)simplify

lo g_{2} (6) - lo g_{2} (15) - lo g_{2} (20)

expand log_{10}(4x)expand

lo g_{10} (4 x)

simplify 1/2+ln(1/2)simplify

\frac{1}{2} + ln (\frac{1}{2})

Frequently Asked Questions (FAQ)

What is ln(x^5)-ln(x) ?
The solution to ln(x^5)-ln(x) is ln(x^4)