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

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How do i solve this exponential function. 2^6-3x=8^x+1      Log On


   



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

Answer by Edwin McCravy(20056) About Me  (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 = %28-3%29%2F%28-6%29
     x = 1%2F2

Edwin