SOLUTION: Solve using Algebra: log(1/3x)-5 =2 e^x+3.2 = 4.7

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Question 808262: Solve using Algebra:
log(1/3x)-5 =2
e^x+3.2 = 4.7
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve using Algebra:
log%28%281%2F%283x%29%29%29-5+=+2
add 5 to both sides
log%28%281%2F%283x%29%29%29+=+2+%2B+5
log%28%281%2F%283x%29%29%29+=+7
Exponent equiv of logs
10%5E7=%281%2F%283x%29%29
3x%2A%2810%5E7%29+=+1
x+=+1%2F%28%283%2A10%5E7%29%29%29
:
e^x+3.2 = 4.7
e^x = 4.7-3.2
e^x = 1.5
x = ln(1.5)
x = .405