SOLUTION: This equation baffles me. 4^2x+1=2^3x+6 I need to solve this, can anyone help?

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Question 65586: This equation baffles me.
4^2x+1=2^3x+6
I need to solve this, can anyone help?
Found 2 solutions by Nate, checkley71:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%282x+%2B+1%29+=+2%5E%283x+%2B+6%29
%284%29%5E%282x+%2B+1%29+=+2%5E%283x+%2B+6%29
%282%29%5E%282%282x+%2B+1%29%29+=+2%5E%283x+%2B+6%29
2%5E%284x+%2B+2%29+=+2%5E%283x+%2B+6%29 2^ a power will equal 2 to the same power
4x + 2 = 3x + 6
x = 4

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
IF you have (4^2)x+1=(2^3)x+6 then
16x+1=8x+6
16x-8x=6-1
8x=5
x=5/8
proof
16*5/8+1=8*5/8+6
80/8+1=40/8+6
10+1=5+6
11=11
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MERRY CHRISTMAS