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Popular >

simplify ln(x^2cos(x))

Solution

simplify

ln (x^{2} cos (x))

Solution

2 ln (x) + ln (cos (x))

Solution steps

ln (x^{2} cos (x))

Apply log rule:

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

ln (x^{2} cos (x)) = ln (x^{2}) + ln (cos (x))

= ln (x^{2}) + ln (cos (x))

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= 2 ln (x) + ln (cos (x))

Popular Examples

simplify log_{2}((9x)/y)simplify

lo g_{2} (\frac{9 x}{y})

simplify log_{b}(16/25)simplify

lo g_{b} (\frac{16}{25})

simplify 5log_{10}(x)+log_{10}(20)-log_{10}(10)simplify

5 lo g_{10} (x) + lo g_{10} (20) - lo g_{10} (10)

simplify log_{10}(80)-2*log_{10}(4)simplify

lo g_{10} (80) - 2 \cdot lo g_{10} (4)

expand log_{5}((sqrt(x))/(25y^3))expand

lo g_{5} (\frac{x}{25 y ^{3}})

Frequently Asked Questions (FAQ)

What is ln(x^2cos(x)) ?
The solution to ln(x^2cos(x)) is 2ln(x)+ln(cos(x))