SOLUTION: Solve the equations using any method. Simplify as much as possible. There may be more than one solution, or there may be none. log(base 2)(X)=log(base 2)(5)-log(base 2)(x+2)

Algebra ->  Probability-and-statistics -> SOLUTION: Solve the equations using any method. Simplify as much as possible. There may be more than one solution, or there may be none. log(base 2)(X)=log(base 2)(5)-log(base 2)(x+2)      Log On


   



Question 368048: Solve the equations using any method. Simplify as much as possible. There may be more than one solution, or there may be none.
log(base 2)(X)=log(base 2)(5)-log(base 2)(x+2)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(base 2)(X)=log(base 2)(5)-log(base 2)(x+2)
------
log2[x] = log2[5/(x+2)]
-----
x = 5/(x+2)
----
x^2+2x-5 = 0
----
x = [-2 +- sqrt(4-4*1*-5)]/2
---
x = [-2 +- sqrt(24)]/2
---
x = [2 +-2sqrt(6)]/2
---
Positive solution:
x = 1+sqrt(6)
==================
Cheers,
Stan H.
==================