anonymous
  • anonymous
ln56/ln7=ln8. Is this true or is this false?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
When I inputted them into my calculator. ln8 was not exactly as the same answer ln56/ln7 but it was very close. Would this make it true nonetheless? ln56/ln7=4.025/1.946=2.069. but ln8=2.047
anonymous
  • anonymous
According to my calculator, it is false.
anonymous
  • anonymous
Did you get different values? if I use log I get a different answer as well

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anonymous
  • anonymous
When you divide ln's, maintain the function and divide the terms. Hence ln56/ln7=ln(56/7)=ln8, therefore, true.
anonymous
  • anonymous
Interesting. Then 56/7 can be divided when next to ln?
anonymous
  • anonymous
My calculator has In sign on so that's i got it's false.
anonymous
  • anonymous
Wait, wait!! It is false!
anonymous
  • anonymous
Please pay attention the following properties:
anonymous
  • anonymous
\[lnA-lnB=\ln (\frac{ A }{ B })\] \[lnA:lnB=\ln(A-B)\] \[lnA*lnB=\ln(A+B)\]\[lnA+lnB=\ln(A*B)\] Hence\[\ln56/\ln7=\ln(56-7)=\ln49\neq \ln8\]
anonymous
  • anonymous
Ah, I see. I forgot to implement the logarithm rules. Thank you for very much. This is perfect
anonymous
  • anonymous
No problem.

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