Question

Solve: 5.8=6e^2x+3=8

Answer 1

\[5.8 = 6*e^{2*x}+3=8\] is this the equation?

Answer 2

wait what?

Answer 3

where did I come up with that? Lol. No, the equation is actually 5.8=6e^2x+5

Answer 4

okay now subtract 5 from both sides, what do you get?

Answer 5

OK

Answer 6

0.8=6e^2x

Answer 7

Okay now divide bot sides by 6, what do u get?

Answer 8

.1333=e^2x

Answer 9

okay now take Ln of both sides.

Answer 10

Ln(0.133)=Ln(e^2x)

Answer 11

Now there's this rule:
Lna^b=bLna, apply it to the right side, what do u get?

Answer 12

huh?

Answer 13

\[ln(a^{b}) = b*ln(a)\]

Answer 14

Ln(e^(2x))right
Ln(a^(b)) = b*Ln(a) let your "a" be e and "b" be 2x

Answer 15

So just use that rule:
e is your a
and
2x is your b

Answer 16

okay look:
Ln(e^2x) = lne^(2x)=(2x)Lne

Answer 17

Ln(e)=1 Memorize this rule

Answer 18

How do I enter the equation on my calculator to get the final answer?

Answer 19

So
(2x)*Ln(e), where ln(e) = 1 what does that equal to?

Answer 20

Solve(5.8=6e^2x+5,x)

Answer 21

0?

Answer 22

That's how u enter it

Answer 23

I guess I'm not following. :-(
The last place I kind of understood is when I divided both sides by 6 and came up with .1333=e^2x

Answer 24

Okay now, see the e^(2x)? the 2x is in the power, so u need to take Ln on both sides to get it down, ln meaning natural log

Answer 25

So:
Ln(0.1333)=Ln(e^(2x))

Answer 26

now Lne^a=a that's a rule
Ln(0.1333)=2x
x = Ln(0.1333)/2 = whatever the calculator gives u..

Answer 27

Ah ha! -1.0075

Answer 28

Want to help me with another equation (the last one) or am I too big of a headache? Lol.

Answer 29

okay sure post it as a new thread, this is getting long and slow..