SOLUTION: What is the exponential function of 32^x+1=64^y+2?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: What is the exponential function of 32^x+1=64^y+2?      Log On


   

Question 534847: What is the exponential function of 32^x+1=64^y+2?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
32%5E%28x%2B1%29 = 64%5E%28y%2B2%29

Notice that 32=2%5E5 and that 64 = 2%5E6

Replacing these:


%282%5E5%29%5E%28x%2B1%29 = %282%5E6%29%5E%28y%2B2%29

2%5E%285%28x%2B1%29%29 = 2%5E%286%28y%2B2%29%29

Now you can equate the exponents of 2 on each side:

5(x + 1) = 6(y + 2)

  5x + 5 = 6y + 12

  5x - 7 = y

f(x) = 5x - 7

Edwin