Precalculus
posted by Sarah on .
This is for solving exponential/logarithmic functions:
(This is a base e Logarithmic function I would assume):
e^(4x)/10 =4^x2 ?
I understand the properties of logs for the most part, but I have a hard time figuring out the stepbystep process on how to solve exponential/log equations? Is your first step always to take the ln of both sides, or is that only for certain types of equations? I need a a step to step list on how to work this, to where I can understand and it's just not all math book definitions. For example, I tried to write out my own process such as:
log equations:
1. take log of both sides
2. drop logs
3. multiply
4. distribute
5. standard form
6. solve
Would this be correct?

for exponentials,
1. collect exponent stuff on one side
2. take logs
add/subtract terms to get x's on one side
divide by coefficient to get x alone
for the above one,
e^(4x)/10 =4^x2
e^(4x) = 10*4^x  20
not much you can do now. That pesky 20 gets in the way.