Exponential and Logarithmic Functions help!!!

Hi everyone!

I am currently having trouble understanding a couple parts of my homework. I filled in the rest but these got confusing:

C. Change each equation to its exponential form:

$\displaystyle lne^2$

D. Change each equation to its Log form. Assume y > 0 and b > 0.

$\displaystyle y = e^x$

**Answer**: Quote:

Originally Posted by

**ThePerfectHacker** If $\displaystyle y=e^x$ then $\displaystyle x = \ln y$.

E. Evaluate each log.

$\displaystyle lne^3$

**Answer**: Quote:

Originally Posted by

**ThePerfectHacker** $\displaystyle \ln e^n = n$ because $\displaystyle e^{(n)} = e^n$.

**Now this is the part I am more confused about**

F. Solve each exponential equation.

$\displaystyle 0.3(4^0.2x) = 0.2$

$\displaystyle 9^x - 3^(x+1) + 1 = 0$

$\displaystyle log2(3x + 2) - log4x = 3$

$\displaystyle (e^x + e^-x) / 2 = 3$

You can answer them for me but please explain to me how you got the answer or what I need to do to get the answer.

I'm still working on these problems and finished a few of them but I want to see if I am positively correct.

Thank you guys!

--Alex