Weird Exponential Equation

[nycmathguy]

Solve for x.

4^|x| = x^4

Note: 4^|x| is read "4 raised to the absolute value of x."

 

[MathLover1]

4^|x| = x^4

log(4^|x|) = log(x^4)
|x|log(4) = 4log(x)
|x|/log(x) = 4/log(2^2)
|x|/log(x) = 4/2log(2)
|x|/log(x) = 2/log(2)

find positive and negative intervals x<0,x>=0
will be true only if x=2 and x=4

 

[nycmathguy]

4^|x| = x^4

log(4^|x|) = log(x^4)
|x|log(4) = 4log(x)
|x|/log(x) = 4/log(2^2)
|x|/log(x) = 4/2log(2)
|x|/log(x) = 2/log(2)

find positive and negative intervals x<0,x>=0
will be true only if x=2 and x=4

Very impressive knowledge of mathematics that you have been gifted with.