SOLUTION: How do I solve the following logarithm for x?
The base of the following logs is 2.
log(x-1) - log(x+3) = log(1/x)
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Question 698510: How do I solve the following logarithm for x?
The base of the following logs is 2.
log(x-1) - log(x+3) = log(1/x)
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The base of the following logs is 2.
log2(x-1) - log2(x+3) = log2(1/x)
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log2[(x-1)/(x+3)] = log2(1/x)
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Take the antilog of both sides:
(x-1)/(x+3) = 1/x
----
Cross-multiply:
x^2-x = x+3
------
x^2 -2x - 3 = 0
---
Factor:
(x-3)(x+1) = 0
Positive solution:
x = 3
============
Cheers,
Stan H.
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Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
solutions:
or
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