SOLUTION: Solve for x: 1/2log(x+2)=2 I thought you could divide the 1/2 out in each side but...

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Question 936800: Solve for x: 1/2log(x+2)=2 I thought you could divide the 1/2 out in each side but...
Found 3 solutions by josgarithmetic, MathLover1, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
You surely mean this:
, but you did not indicate the base.

Yes, divide the members by , or better, MULTIPLY the members by 2.
Result:


That still leaves the base not being known. Does it have a variable name? Is it 2, 10, 5, e ?

Not knowing what is your base, call it b.
You can change from the logarithmic form
to the equivalent exponential form,
.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!



....in base ten it will be


...if log same, then


...your solution


Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Solve for x: 1/2log(x+2)=2 I thought you could divide the 1/2 out in each side but...
Yes, you can divide both sides by 

˝log (x + 2) = 2

log (x + 2) = 2 * 2
log (x + 2) = 4
-------- Converting to LOGARITHMIC form
x + 2 = 10,000
x = 10,000 – 2, or
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