Question

Find the solution to the equation.
e^5x=25

Answer 1

is e an variable in your equation?

Answer 2

take ln both sides
and (5x) is an exponent right ?

Answer 3

yess

Answer 4

alright so you can take natural log both sides to cancel out e \[\huge\rm \cancel {ln e}^x = x \]

Answer 5

ln25=5x?

Answer 6

\[\huge\rm \color{ReD}{ln }e ^{5x} = \color{Red}{\ln} 25\]

Answer 7

yes right

Answer 8

okay so now what?

Answer 9

use calculator for ln 25

Answer 10

and then solve for x

Answer 11

i got 3.2188 when i did ln25

Answer 12

okay so 5x = 3.2188 solve for x divide both sides by 5

Answer 13

0.6437?

Answer 14

yes right

Answer 15

could you help me with one more?

Answer 16

i'll try

Answer 17

2e^x-1=0

Answer 18

so exponent is (x-1) or just x ?

Answer 19

just x

Answer 20

\[\huge\rm 2e^x -1 = 0\] first solve for e^x

Answer 21

2e^x=1?

Answer 22

yes right now divide both sides by 2

Answer 23

e^x=2?

Answer 24

no. what about one ?

Answer 25

2/1 = 2 but 1/2 isn't equal to 2

Answer 26

0.5?

Answer 27

yes right right

Answer 28

e^x = .5 solve for x

Answer 29

it would be .5, wouldnt it?

Answer 30

no how would you cancel out e ?

Answer 31

ln.5=x

Answer 32

yes right ln.5 not just .5 :=)

Answer 33

-0.6931

Answer 34

okay this is the last one i promise! -3e^4x +11=2

Answer 35

right

Answer 36

same like the last one try it and let me know what you get i'll check it

Answer 37

0.2747?

Answer 38

nice yes that's right :=)

Answer 39

thank you! I get it now, but i just ran across this one that i dont know how to do it with the exponent like that , its e^x+1 =1.461

Answer 40

i got 0.3791 so far but im stuck on dividing it by x+1

Answer 41

x is an exponent or x+1 is an exponent ?

Answer 42

x+1

Answer 43

is the answer -6.209?

Answer 44

alright you don't have to divide by x+1 remember to cancel out something thing from one side you have to apply opposite of addition/subtraction/division/multiplication
so x+1 <--- here is x plus 1 adding so do opposite of one addition to cancel out one from left side

Answer 45

yes that's right! :-)