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July 30, 2014

July 30, 2014

Posted by **Sarah** on Tuesday, December 11, 2012 at 5:51pm.

(This is a base e Logarithmic function I would assume):

e^(4x)/10 =4^x-2 ?

I understand the properties of logs for the most part, but I have a hard time figuring out the step-by-step 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?

- Precalculus -
**Steve**, Tuesday, December 11, 2012 at 6:56pmfor 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^x-2

e^(4x) = 10*4^x - 20

not much you can do now. That pesky -20 gets in the way.

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