SOLUTION: How do i solve this exponential function. 2^6-3x=8^x+1

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Question 770900: How do i solve this exponential function.
2^6-3x=8^x+1

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!

26-3x = 8x+1

Since 8 = 23 we replace 8 by (23)

26-3x = (23)x+1 

We remove the parentheses on the right side by 
multiplying exponents:

26-3x = 23x+3

Since the bases on both sides are the same positive number
other than 1, we may equate the exponents:

6 - 3x = 3x + 3
   -6x = -3
     x = 
     x = 

Edwin



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