Question

need math help

Answer 1

i know i'm wrong. give me some time to fix the questioin..

Answer 2

don't fix my mistake.. i wanna do it myself. gimme 5 minutes to think

Answer 3

Good luck

Answer 4

am i close to the right answer/solution tho?

Answer 5

Yes, you're almost there. There's just something you may not figure out on your own unless it is explained.

Answer 6

You did make a mistake, but its more conceptual than mathematical.

Answer 7

k i'm gonna do the problem and u gimme hints

Answer 8

There's no need to re-do the problem. It won't fix the problem unless it is explained.

Answer 9

The mistake is made at the very end.

Answer 10

oh :O

Answer 11

First how do you say 0.2 using words?

Answer 12

zero point two?

Answer 13

If you say zero point two that is incorrect.

Answer 14

or 2/10?

Answer 15

Two-tenths is correct.

Answer 16

So you need to go back to the last known correct step:
\(0.2x = \ln(2)\)

Answer 17

Furthermore, you need to start using parentheses correctly

Answer 18

ok we pick up from there ^^

Answer 19

If you have \(ax = \ln(b)\) and you divide both sides by \(a\) the answer becomes
\(x = \dfrac{1}{a}\ln(b)\)

But you should convert \(a\) to a fraction first. Also its mathematically impossible to do what you've done since the 2 needs to be applied to the natural log first.

Answer 20

I don't want to confuse you too much though.

Answer 21

plz dont

Answer 22

Convert 0.2 to a fraction first.

Answer 23

That will help you

Answer 24

Then reduce the fraction

Answer 25

Yes, now reduce the fraction

Answer 26

multiply?

Answer 27

Now you have your
\(ax = \ln(b)\)

Answer 28

Multiply both sides by what?

Answer 29

5

Answer 30

Correct.

Answer 31

Very good. But it is mathematically correct to write \(x = 5 \ln(2)\)

Answer 32

oh oops

Answer 33

The simplest number goes to the left. 5 is simpler than \(\ln(2)\)

Answer 34

Or the simplest "factor" goes to the left

Answer 35

Very good.

Answer 36

thats it?

Answer 37

thanks hero. :)

Answer 38

That was all.

Answer 39

Avoid working with decimals as much as possible.

Answer 40

Another way you could have done it was this:

Answer 41

i'll remember to convert decimals to fractions from here on.

Answer 42

\(0.2x = \ln(2)\)

Multiply both sides by 10 to get rid of decimal:
\(2x = 10\ln(2)\)
Divide both sides by 2:
\(x = \dfrac{10}{2}\ln(2)\)
Simplify:
\(x = 5\ln(2)\)

Answer 43

I prefer to do it this way most of the time.

Answer 44

But it helps to understand what 0.2 is. It's not "point two" as you discovered.

Answer 45

i see. i'll make sure to copy this version of the solution in my notebook as well. Thanks a lot hero. Bless you bro.

Answer 46

You're welcome