Question

Solve for x in the equation X^2-16^x=0

Answer 1

Answer:

-1/2

Step-by-step explanation:

• x^2- 16^x = 0
• x^2 =  16^x
• x^2 = 4^2x
• x = 4^x
• logx = xlog4
• 1/x×logx = log4
• log(x^1/x) = log4
• x^(1/x) = 4

At this point you can guess and try. And it seems that x = -1/2, lets check:

• (-1/2)^(1 /-1/2)= (-1/2)^-2= 2^2= 4

So, this is correct: x= -1/2