Question

I got a “No Solution” for the answer.

Can someone double check for me to make sure I’m doing the steps correctly? Please


Solve for x
ln(x)=ln(x-4)+ln(6)


Simplifying
ln(x) = ln(x + -4) + ln(6)

Multiply ln * x
lnx = ln(x + -4) + ln(6)

Reorder the terms for easier multiplication:
lnx = -4ln + lnx + 6ln

Reorder the terms:
lnx = -4ln + 6ln + lnx

Combine like terms: -4ln + 6ln = 2ln
lnx = 2ln + lnx

Add '-1lnx' to each side of the equation.
lnx + -1lnx = 2ln + lnx + -1lnx

Combine like terms:2ln + -2ln = 0
-2ln = 0
Divide each side by '-2'.ln = 0

Answer: ln=0

Answer 1

im back

Answer 2

u need help

Answer 3

Just a quick check please. The equation is ln(x)=ln(x-4)+ln6 and I have to solve for x.

I came up with a no solution for x.

Answer 4

ur answer is correct

Answer 5

You rock!! Thank you

Answer 6

np!

Answer 7

\[\ln x = \ln(x-4)+\ln6\]
\[\ln x - \ln(x-4)-\ln6\ = 0\]
\[\ln \frac{ x }{ 6(x-4) } = 0\]
\[e^{\ln \frac{ x }{ 6(x-4) }} = e^{0}\]
\[\frac{ x }{ 6(x-4) } = 1\]
\[x = \frac{ 24 }{ 5 }\]

Answer 8

@mathgeek! I already put the answer down as "no solution" is he correct?

Answer 9

correct! wait let me make sure

Answer 10

yeah its right!

Answer 11

He's right or your right O_o

Answer 12

we both are

Answer 13

hahaha- so it just depends on how you work the problem right?

Answer 14

I'm not sure how there can be no solution and x=24/5... eeek

Answer 15

\[\ln (x)?\]
Is that in the equation?

Answer 16

exactly take it step by step

Answer 17

ok. I ran it through 2 calculators as a double chekc and 2 said no solution, and 2 came up with 25/5.

Answer 18

yeah i think your right

Answer 19

correction 24/5. Guess it just depends on how you work it out... You can either get no solution or 24/5 as an answer- VERY Confusing.

Answer 20

if its the mathematical ln function then its 24/5 is the right answer!

Answer 21

very confusing!lol

Answer 22

Aggghhhhh- this is why I do not do math on purpose.

Answer 23

use the property of log, we have to simplify in right side, first
ln(x)=ln(x-4)+ln(6)
ln(x)=ln{(x-4)6}

now, cancel out the ln for both sides we get
x = (x-4)6
x = 6x-24
24 = 6x-x
24 = 5x
x=24/5

Answer 24

S@#T guess it's wrong then...

Answer 25

It is 24/5!!

Answer 26

yeah good job!

Answer 27

yup, in maths dont do more guess! :P

Answer 28

i just did the problem on paper nd the answer is 24/5

Answer 29

Emmille- You said that the "no solution" was correct... I'm telling Stanford! lol

Answer 30

Thanks RadEn

Answer 31

you're welcome :)

Answer 32

ugh Stanford is gonna be pissed

Answer 33

Yes, yes they are!

Answer 34

:(

Answer 35

maybe you'll get the next one- don't fret :)

Answer 36

lmao

Answer 37

need anymore help before i log off