Logs and Inverses

Well from what Ms. Hwang told me LOGS ARE EXPONENTS!!

I don't know how to explain it but i just get them.

Example 1
log₂ 16=x

-This equation is read Log base 2 of 16 equals x.

2^x=16

-Your trying to find 2 to What input will be the Exponent that will give you an output of 16.

Answer:

X=4


Why?

2 to the power of 4, equals 16


log_ax means the power that you raise

a to in order to

get x
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Inverses
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The way i find the inverse of a function is by plugging in x for y.


For example
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f(x)= 2x+3

y=2x+3
1. Switch the variables x and y.

x=2y+3
2. Subtract 3 from both sides.

2y=x-3
3. Divide both side by 2.

y=x-3/2
4. This is the Inverse.


what i dont understand are how ln can be the inverse of e.
If e is 2.71.... then what is ln.

1/2.71...... if there was a simple way to understand this i would probably not get lost....

HELP!!!