Question

What is the solution to the equation 3 1 + 2x = 2 ? What is the solution to the equation 3 1 + 2x = 2 ? @Mathematics

Answer 1

\[3^1+2x=2\]

Answer 2

^(1+2x)

Answer 3

wait whats the equation?

Answer 4

3^(1+2x)=2

Answer 5

3^(1+2x) = 2 I reckon

Answer 6

Alright so heres how you do it...

Answer 7

ok

Answer 8

3^(1+2x) = 2
Take the log of both sides:
log[3^(1+2x)]=(1+2x)log(3) (thats just a property of log)

So now we have:
(1+2x)log(3)=log(2)
Distribute (1+2x) out:
log(3)+2x(log(3))=log(2)

And then just solve for x:
2x(log(3))=log(2)-log(3)
x=(log(2)-log(3))/(2log(3)) <----- Thats the answer

Answer 9

my options are x=0.292.....x=-0.185...x=0.185...x=0.292

Answer 10

jp's answer is right. To get digits you'll need to use a calc.

Answer 11

Alright... then its -0.185

Answer 12

I though you needed the answer in exact form