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Popular >

simplify ln(re^{xy})

Solution

simplify

ln (r e^{x y})

Solution

ln (r) + x y

Solution steps

ln (r e^{x y})

Apply log rule:

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

ln (r e^{x y}) = ln (r) + ln (e^{x y})

= ln (r) + ln (e^{x y})

Apply log rule:

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

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

= ln (r) + x y ln (e)

x y ln (e) = x y

= ln (r) + x y

Popular Examples

expand log_{4}(x^2y)expand

lo g_{4} (x^{2} y)

simplify ln(222sqrt(2))simplify

ln (2222)

simplify-(8.31*310)/(9.65)*ln(140/4)simplify

- \frac{8.31 \cdot 310}{9.65} \cdot ln (\frac{140}{4})

simplify ln(3/5)+7 simplify

ln (\frac{3}{5}) + 7

simplify ln(a+b)+ln(a-b)-2ln(x)simplify

ln (a + b) + ln (a - b) - 2 ln (x)

Frequently Asked Questions (FAQ)

What is ln(re^{xy}) ?
The solution to ln(re^{xy}) is ln(r)+xy