SOLUTION: Solve for x log(base 4) x + log(base 4) (x-2) = 1

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Question 1015407: Solve for x
log(base 4) x + log(base 4) (x-2) = 1
Found 3 solutions by josmiceli, josgarithmetic, ikleyn:
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
use the substitution:

Complete the square

Take the square root of both sides

and also:

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check:

OK
You can check the other answer

Answer by josgarithmetic(39623)   (Show Source):
You can put this solution on YOUR website!
Pure text , log(4,x)+log(4,(x-2))=1

Adding the triple-braces rendering tags,

----not factorable

Answer by ikleyn(52834)   (Show Source):
You can put this solution on YOUR website!
.
Solve for x
log(base 4) x + log(base 4) (x-2) = 1
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It is equivalent to x*(x-2) = 4, (1) = , = = = . So, the solutions of the equation (1) are and . Only positive value x = satisfies the original equation.