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Popular >

simplify ln(cot(x)*e^x)

Solution

simplify

ln (cot (x) \cdot e^{x})

Solution

ln (cot (x)) + x

Solution steps

ln (cot (x) e^{x})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (cot (x) e^{x}) = ln (cot (x)) + ln (e^{x})

= ln (cot (x)) + ln (e^{x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{x}) = x ln (e)

= ln (cot (x)) + x ln (e)

x ln (e) = x

= ln (cot (x)) + x

Popular Examples

simplify ln(x-3)+ln(x-6)simplify

ln (x - 3) + ln (x - 6)

simplify ln(6/60)simplify

ln (\frac{6}{60})

simplify log_{10}(0.3)-log_{10}(0.6)simplify

lo g_{10} (0.3) - lo g_{10} (0.6)

join 1/3*ln(20)join

\frac{1}{3} \cdot ln (20)

simplify 573ln(174/1)simplify

573 ln (\frac{174}{1})

Frequently Asked Questions (FAQ)

What is ln(cot(x)*e^x) ?
The solution to ln(cot(x)*e^x) is ln(cot(x))+x