Question

Solve 3 log 2x = 4. Round to the nearest thousandth if necessary.

Answer 1

Answer:

x is approximately 10.772

Step-by-step explanation:

$3log(2x) = 4$

To solve for x, we convert this log form to exponential form

If $log x= a , then x= 10^a$

$3log(2x) = 4$

to convert it into exponential form we make log alone

Divide by 3 on both sides

$log(2x)= \frac{4}{3}$

$2x= 10^{\frac{4}{3}}$

Then divide by 2 on both sides

so x= 10.772

Answer 2

2x=10^(4/3)
x=(1/2)10^(4/3)

x is approximately 10.772

I dunno if I'm too late answering this but I hope this helps anyway :)