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Popular >

simplify ln(x^5)-ln(x^3)

Solution

simplify

ln (x^{5}) - ln (x^{3})

Solution

ln (x^{2})

Solution steps

ln (x^{5}) - ln (x^{3})

Apply log rule:

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

ln (x^{5}) - ln (x^{3}) = ln (\frac{x ^{5}}{x ^{3}})

= ln (\frac{x ^{5}}{x ^{3}})

Simplify

\frac{x ^{5}}{x ^{3}} : x^{2}

= ln (x^{2})

Popular Examples

simplify-5[log_{10}(x)-log_{10}(y-2)]simplify

- 5 [lo g_{10} (x) - lo g_{10} (y - 2)]

simplify 4log_{3}(x)+log_{3}(7)simplify

4 lo g_{3} (x) + lo g_{3} (7)

simplify ln(413.93)-ln(280)simplify

ln (413.93) - ln (280)

simplify log_{5}(x+6)+2log_{5}(x)simplify

lo g_{5} (x + 6) + 2 lo g_{5} (x)

simplify ln(25/22)simplify

ln (\frac{25}{22})

Frequently Asked Questions (FAQ)

What is ln(x^5)-ln(x^3) ?
The solution to ln(x^5)-ln(x^3) is ln(x^2)