Question

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

Answer 1

\[2x \log_{10}4\approx \log_{10}3 \]

Answer 2

So that equals?

Answer 3

do you understand how @Mertsj got to that part?

Answer 4

yeah but i dont get how to make it into an answer

Answer 5

Do you have a calculator?

Answer 6

yeah but it dosent do log

Answer 7

Then use an online calculator

Answer 8

type log4 into a google search bar.

Answer 9

Well, from \(\large 2x \log_{10} 4 \approx \log_{10} 3\) you need to use isolate x to one side... you can accomplish that by dividing the two log functions with eachother. \[\large 2x \approx \frac{\log_{10}3}{\log_{10}4}\] So now you van evaluate the stuff on the right side first.

Answer 10

So do i plug that into a calculator?

Answer 11

yep.

Answer 12

allright thank you

Answer 13

after you find out what that fraction equals you divide that result by 2 and youll find your answer for x.