## anonymous one year ago Check answers? Use natural logarithms to solve the equation. e^2x = 1.4 Round to the nearest thousandth. I have 0.168 Solve ln (3x – 6) = 4. Round to the nearest thousandth. I got 20.199 after rounding Solve ln (2x + 3) = 7 Round to the nearest thousandth. I have 546.817 after rounding

1. ganeshie8

just use the definition of logarithm : $\large e^{x}=b \implies x = \ln (b)$

2. ganeshie8

exponent = logarithm

3. ganeshie8

In your first question, you have : $$\large e^{2x} = 1.4$$ therefore $$2x$$ is the logarithm of $$1.4$$. using math symbols we write it as : $\large 2x = \ln (1.4)$

4. anonymous

oh so that one was right then thanks

5. ganeshie8

6. ganeshie8

0.168 is correct for the first question http://www.wolframalpha.com/input/?i=ln%281.4%29%2F2

7. ganeshie8

8. anonymous

thank you for checking I appreciate it. Wasn't sure how I could do that. :)

9. ganeshie8

np:)