spareb665
  • spareb665
X=-In2/(3In2+In5) round the answer 2 digits after the decimal sign.
Mathematics
schrodinger
  • schrodinger
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Mertsj
  • Mertsj
What is another form of 3ln2?
spareb665
  • spareb665
In(8)?
Mertsj
  • Mertsj
Yes. And what is another form of ln8 + ln5 ?

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spareb665
  • spareb665
idk In(40)?
Mertsj
  • Mertsj
Yes. So now we have:
Mertsj
  • Mertsj
\[x=- \frac{\ln 2}{\ln 40}\]
Mertsj
  • Mertsj
So pick up your calculator and find the ln of 2, divide it by the ln of 40, round the answer to two decimal places and change it to its opposite.
Mertsj
  • Mertsj
What did you get?
spareb665
  • spareb665
I got -0.1879018247
spareb665
  • spareb665
but im not sure if its right 2^3x+1=5^-x= (3x+1)In2=-xIn5 3xIn2+In2=-xIn5 3xIn2+xIn5=-In2 X(3In2+In5)=-In2 X=-In2/(3In2+In5) =-In2/In40 = -0.1879018247
Mertsj
  • Mertsj
Round it to -.19
spareb665
  • spareb665
did i do that right? x= -.19 ?
Mertsj
  • Mertsj
Replace x with -.19 and see if it makes the original equation true.
Mertsj
  • Mertsj
Also, that is what I got.

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