SOLUTION: Please help me solve x from: log<sub>4</sub>(2x) - log<sub>4</sub>(x-1) = -1 Thank you

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Question 823317: Please help me solve x from: log4(2x) - log4(x-1) = -1
Thank you
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!




















I'll let you perform the check.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
log4(2x) - log4(x-1) = -1

Use the rule 

log4 = -1

Use the rule for changing a logarithm equation to an equivalent
exponential equation:  is equivalent to :

 = 4-1

Use the rule for a negative exponent:

 = 

Cross multiply:

8x = x-1
7x = -1
 x = 
 x = 

Edwin
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