Question

Algebra 2
Will give MEDAL!

Answer 1

What is the solution to the equation 4^2x ≈ 3?
x = –0.631

x = –0.396

x = 0.396

x = 0.631

Answer 2

@thomaster @Teinis

Answer 3

@dumbsearch2

Answer 4

Does it look like this?
\[4^{2x} \approx 3\]

Answer 5

yes

Answer 6

Ok, start by taking the natural log of both sides. This will allow us to drop down the 2x in front like this:
\[2x \ln4 \approx \ln 3\]Do you see how we can isolate x now?

Answer 7

By dividing it?

Answer 8

We'll start by dividing both sides by ln 4, right. Now we'll just have 2x on the left:
\[2x=\frac{ \ln 3 }{ \ln 4 }\]

Answer 9

ok now to get x by itself we would need to divide both sides by 2 right?

Answer 10

3/16

Answer 11

@Juliette32801 that isn't in the answer choices though :(

Answer 12

@AwesomeB I know hold on

Answer 13

ok

Answer 14

3^(2x)=4
2xln(3)=ln(4)
2x=ln(4)/ln(3)
2x=1.26
x=.63092

Answer 15

\[\approx \] 0.631 d.

Answer 16

ty