anonymous
  • anonymous
Find the solution to the equation. e^5x=25
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
is e an variable in your equation?
Nnesha
  • Nnesha
take ln both sides and (5x) is an exponent right ?
anonymous
  • anonymous
yess

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More answers

Nnesha
  • Nnesha
alright so you can take natural log both sides to cancel out e \[\huge\rm \cancel {ln e}^x = x \]
anonymous
  • anonymous
ln25=5x?
Nnesha
  • Nnesha
\[\huge\rm \color{ReD}{ln }e ^{5x} = \color{Red}{\ln} 25\]
Nnesha
  • Nnesha
yes right
anonymous
  • anonymous
okay so now what?
Nnesha
  • Nnesha
use calculator for ln 25
Nnesha
  • Nnesha
and then solve for x
anonymous
  • anonymous
i got 3.2188 when i did ln25
Nnesha
  • Nnesha
okay so 5x = 3.2188 solve for x divide both sides by 5
anonymous
  • anonymous
0.6437?
Nnesha
  • Nnesha
yes right
anonymous
  • anonymous
could you help me with one more?
Nnesha
  • Nnesha
i'll try
anonymous
  • anonymous
2e^x-1=0
Nnesha
  • Nnesha
so exponent is (x-1) or just x ?
anonymous
  • anonymous
just x
Nnesha
  • Nnesha
\[\huge\rm 2e^x -1 = 0\] first solve for e^x
anonymous
  • anonymous
2e^x=1?
Nnesha
  • Nnesha
yes right now divide both sides by 2
anonymous
  • anonymous
e^x=2?
Nnesha
  • Nnesha
no. what about one ?
Nnesha
  • Nnesha
2/1 = 2 but 1/2 isn't equal to 2
anonymous
  • anonymous
0.5?
Nnesha
  • Nnesha
yes right right
Nnesha
  • Nnesha
e^x = .5 solve for x
anonymous
  • anonymous
it would be .5, wouldnt it?
Nnesha
  • Nnesha
no how would you cancel out e ?
anonymous
  • anonymous
ln.5=x
Nnesha
  • Nnesha
yes right ln.5 not just .5 :=)
anonymous
  • anonymous
-0.6931
anonymous
  • anonymous
okay this is the last one i promise! -3e^4x +11=2
Nnesha
  • Nnesha
right
Nnesha
  • Nnesha
same like the last one try it and let me know what you get i'll check it
anonymous
  • anonymous
0.2747?
Nnesha
  • Nnesha
nice yes that's right :=)
anonymous
  • anonymous
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
anonymous
  • anonymous
i got 0.3791 so far but im stuck on dividing it by x+1
Nnesha
  • Nnesha
x is an exponent or x+1 is an exponent ?
anonymous
  • anonymous
x+1
anonymous
  • anonymous
is the answer -6.209?
Nnesha
  • Nnesha
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
Nnesha
  • Nnesha
yes that's right! :-)

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