1. ## natural log

what is (2e^6 - natural log of absolute value of 2) - (2e - natural log of absolute value of 1)??

is it 2e^5- natural log of absolute value of 1??

2. Originally Posted by shepherdm1270
what is (2e^6 - natural log of absolute value of 2) - (2e - natural log of absolute value of 1)??

is it 2e^5- natural log of absolute value of 1??
A) Do you mean:

$(2e^6-\ln(|2|))-(2e-\ln(|1|))$ ? If so:

1. Expand the brackets.
2. Keep in mind that $\ln(1) = 0$

3. You'll get: $2e^6-\ln(|2|)-2e = 2e(e^5-1)-\ln(|2|)$

B) Do you mean:

$(2e^{6-\ln(|2|)})-(2e^{-\ln(|1|)})$ ? If so:

1. Expand the brackets. $\ln(1) = 0$ and $e^0 = 1$

2. You'll get: $\frac22 e^6 -2 = e^6-2$