4^X=8X
Proof that X=2
To prove that X = 2 satisfies the equation 4^X = 8X, we can substitute X = 2 into the equation and verify if it holds true.
We have:
4^2 = 8*2
16 = 16
Since 16 does indeed equal to 16, our substitution is correct, and X = 2 is a solution to the equation.
However, it is important to note that this does not necessarily mean that X = 2 is the only solution. To find all possible solutions, further analysis or mathematical techniques may be required.
To prove that X=2 satisfies the equation 4^X = 8X, we can substitute X=2 into the equation and check if it holds true. Let's proceed with the proof step-by-step.
Step 1: Substitute X=2 into the equation:
4^X = 8X
4^2 = 8(2) [Substituting X=2]
16 = 16
Step 2: Simplify both sides of the equation.
Both sides of the equation, 16 = 16, are equal. Therefore, substitute X=2 satisfies the equation 4^X = 8X.
Conclusion:
From the proof, we have shown that X=2 satisfies the equation 4^X = 8X.