SOLUTION: solve for x a) 32^x+4=8^3x-2

Question 691774: solve for x
a) 32^x+4=8^3x-2
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve for x
Assume the problem is:
a)
32 = 2^5, and 8 = 2^3, therefore we can write this

if the base is equal the exponents are equal, write it:
5(x+4) = 3(3x-2)
5x + 20 = 9x - 6
20 + 6 = 9x - 5x
26 = 4x
x = 26/4
x = 6.5
:
:
Check this on your calc, enter both, compare the results
32^(6.5+4)
and
8^(3(6.5)-2)

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