SOLUTION: Can someone please help me with this one; 100 = 950(1 + x/2)^10

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Question 202211: Can someone please help me with this one;
100 = 950(1 + x/2)^10

Found 3 solutions by scott8148, stanbon, RAY100:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
dividing by 950 ___ 2/19 = (1 + x/2)^10

taking logarithm ___ log(2/19) = 10 log(1 + x/2)

dividing by 10 ___ [log(2/19)] / 10 = log(1 + x/2)

taking antilog ___ .7984 = 1 + x/2

subtracting 1 and multiplying by 2 ___ -.4032 = x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
100 = 950(1 + x/2)^10
Divide both sides by 50 to get:
[(1 + (x/2)]^10 = 2/19
---
Raise both sides to the (1/10) power
1 + (x/2) = 0.7984...
x/2 = -0.2015869...
x = -0.4031738...
=========================
Cheers,
Stan H.

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
100=950(1+x/2)^10
.
100/950 = (1+x/2)^10
.
let y=(1+x/2)
.
.1053 =y^10
.
take tenth power
.
y= .7984
.
subst back in ,,,y=(1+x/2)
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1 +x/2 = .7984
.
x/2 = -.2016
.
x=-.4032
.
check
.
100=950(1+(-.4032)/2)^10=950(.10525)=100,,,,ok