SOLUTION: HI all, I need some help with the following problems. I dont expect answers to all of them, but if someone can give me 1 or more with explanations that would be great. I need to So
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-> SOLUTION: HI all, I need some help with the following problems. I dont expect answers to all of them, but if someone can give me 1 or more with explanations that would be great. I need to So
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Question 200246: HI all, I need some help with the following problems. I dont expect answers to all of them, but if someone can give me 1 or more with explanations that would be great. I need to Solve the following 3 seperate equations for x
1. x = 2^x+1 = 27
2. x = 4x+2 = 256
3. x = 42x+2 = 256
All 3 are seperate and need seperate answers, if someone an give me some help il be very gratefull.
-Nick Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Solve the following 3 separate equations for x
:
Assume you mean
:
1.
2^x + 1 = 27
2^x = 27 - 1
2^x = 26
using nat logs
ln(2^x) = ln(26)
use the log equiv of exponents
x*ln(2) = ln(26)
.693x = 3.358
x =
x = 4.7
:
Check solution on calc; enter:
2^4.7 + 1 = 26.99 ~ 27
:
:
2.
4x + 2 = 256
4x = 256 - 2
4x = 254
x =
x = 63.5
:
Check solution on a calc, enter
4(63.5) + 2 = 256
:
:
3.
42x + 2 = 256
42x = 256 - 2
42x = 254
x =
x = 6 = 6
:
Check solution on a calc; decimal x = 6.0761
42(6.04761) + 2 = 255.999 ~ 256
