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) About Me  (Show Source):
You can put this solution on YOUR website!
You surely mean this:
%281%2F2%29log%28%28x%2B2%29%29=2, but you did not indicate the base.

Yes, divide the members by 1%2F2, or better, MULTIPLY the members by 2.
Result:
log%28%28x%2B2%29%29=4

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 log%28b%2C%28x%2B2%29%29=4
to the equivalent exponential form,
b%5E4=x%2B2.

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

%281%2F2%29log%28%28x%2B2%29%29=2
log%28%28x%2B2%29%29=2%2F%281%2F2%29
log%28%28x%2B2%29%29=4....in base ten it will be
log%28%28x%2B2%29%29%2Flog%28%2810%29%29=4
log%28%28x%2B2%29%29=4log%28%2810%29%29
log%28%28x%2B2%29%29=log%28%2810%5E4%29%29...if log same, then
x%2B2=10%5E4
x%2B2=10000
x=9998 ...your solution


Answer by MathTherapy(10557) About Me  (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 1%2F2



˝log (x + 2) = 2

log+%28%28x+%2B+2%29%29+=+2%22%F7%221%2F2  

log (x + 2) = 2 * 2

log (x + 2) = 4

x+%2B+2+=+10%5E4 -------- Converting to LOGARITHMIC form

x + 2 = 10,000

x = 10,000 – 2, or highlight_green%289998%29