SOLUTION: 1. logx 8=3 2.log 10(2x-4) _ log 10(x+2) =1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. logx 8=3 2.log 10(2x-4) _ log 10(x+2) =1       Log On


   



Question 360566: 1. logx 8=3

2.log 10(2x-4) _ log 10(x+2) =1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. logx 8=3
---
x^3 = 8
x = 2
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2.log 10(2x-4) - log 10(x+2) =1
---
log10[(2x-4)/(x+2)] = 1
---
[(2x-4)/(x+2)] = 10
----
2x-4 = 10x+20
8x = -24
x = -3
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But x cannot be -3 in the original equation
because you cannot have the log of a negative
number.
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No solution:
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Cheers,
stan H.