Question

solve for x. Round your answer to 2 decimal places.
11-2*log(x)=14

Answer 1

I know you have to subtract 11 from both sides 1st

Answer 2

so it'd be:
-2*log(x)=11

Answer 3

so then do I divide both sides by -2?

Answer 4

so it would be log(x)= -5.5???

Answer 5

when you subtract 11, you should get

2^log(x) = 3

Answer 6

2*log(x) = 3, dont know where ^ came from

Answer 7

why would it be 2^??

Answer 8

oh ok :)

Answer 9

also there should be a - in front of the 2

Answer 10

so now you can divide both sides by -2

Answer 11

sorry that's what I meant

Answer 12

3/-2 not 11/ -2

Answer 13

so it'd be log(x)= -1.5

Answer 14

yes. no, do you remember how to cancel logs, so you're just left with x?

Answer 15

now*

Answer 16

umm... so........

Answer 17

no :(

Answer 18

if you take both sides to the e power you get:

e^(log(x) = e^(-1.5)

e^(log) just = 1, so you have

x = e^(-1.5)

Answer 19

so 31.62?

Answer 20

wait no

Answer 21

e^(-1.5) = e^(-3/2) = 1 / e^(-3/2)

Answer 22

gonna be a small number

Answer 23

4.48?

Answer 24

but that would just be e^ positive 1.5 right?

Answer 25

sorry, 1 / e^(3/2)

Answer 26

when you move it down to the denominator, the negative sign goes away.

Answer 27

right because u multiply by the reciprocal?

Answer 28

so it is 4.48 right?

Answer 29

no, 1/e^(3/2) is barely over 0

try again

Answer 30

.22 ?

Answer 31

yes!

Answer 32

ok i'm gonna submit it

Answer 33

& what abt:
e^(0.5x) = 0.5

Answer 34

to get rid of log, we took it to the e power. how do you think we get rid of e?

Answer 35

uh...

Answer 36

root it?

Answer 37

no, just take the log of both sides:

log(e^(0.5x)) = log(0.5)

log (e) = 1 so you have

0.5x = log(0.5)

Answer 38

so the log(.5)/ .5 ???

Answer 39

mmhm

Answer 40

I got -0.60

Answer 41

but then idk where I got -1.39 earlier.... :(

Answer 42

-1.39 is right!

Answer 43

oh... ok then