SOLUTION: Find all real solutions to the equation 4^x - 5(2^x)

SOLUTION: Find all real solutions to the equation 4^x - 5(2^x) - 24 = 0

Question 1119226: Find all real solutions to the equation 4^x - 5(2^x) - 24 = 0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
4^x - 5(2^x) - 24 = 0
2^(2x) - 5(2^x) - 24 = 0
Sub y for 2^x
y^2 - 5y - 24 = 0
(y-8)*(y+3) = 0
y = 8
2^x = 8
x = 3
-----------
y = -3
2^x = -3 --- Not allowed.

RELATED QUESTIONS
Find all real solutions:... (answered by Alan3354)

x+4/x+2=7/x+2 + 24/x^2-4 Find all the real... (answered by Fombitz)

find all real solutions of the equation.... (answered by jim_thompson5910)

Find all real solutions of the equation (x)square/x-1 + 1/x+2 = 5/4 (answered by Nate)

Find all the real solutions of the equation.... (answered by jsmallt9)

Find all real solutions of the equation. {{{ x^4-8x^2-9=0... (answered by KMST)

1/x-1 + 1/x+2 = 5/4 Find all real solutions of the... (answered by Nate)

find all real solutions to the equation x**2=4 x squared =... (answered by stanbon)

find all real solutions to each equation... (answered by Fombitz)