Question

What is the solution to the equation 4 2x ≈ 3 ?


answers:
x = -0.631
x = -0.396
x = 0.396
x = 0.631

Answer 1

4 2x ≈ 3 ?
^

unclear

Answer 2

what do you mean?

Answer 3

0.396

Answer 4

what you actually mean is

4 ^(2x) ≈ 3

Answer 5

\[4^{2x} = 3\]

take the base 4 log of each side and use change of base

\[2x = \frac{\ln(3)}{\ln(4)}\]

divide both sides by 2

\[x=\frac{1}{2}\times \frac{\ln(3)}{\ln(4)}\]

just evalaute for the answer

Answer 6

ohh ok thank you :]