anonymous
  • anonymous
Write log4 14 as a logarithm of base 3.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
tell your teacher this isnt helpful in the real world
anonymous
  • anonymous
i don't have a teacher.
AccessDenied
  • AccessDenied
logarithms can be helpful, depending on what you're actually doing in the real world. :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
\[\frac{\log_{3}14}{\log_{3}4}\]change of base
AccessDenied
  • AccessDenied
i think if you're writing it just as a logarithm of base 3, you need one logarithm... which would also explain the excess work i was so confused by in class today (I had to do the same thing). :P
anonymous
  • anonymous
Dockworker has it right, but such an answer isn't very practical, since the calculator, computer, and tabulated data are all for the common or natural logs.
AccessDenied
  • AccessDenied
\[ \large{ \begin{split} log_4 14 &= log_3 x\\ \frac{log 14}{log 4} &= \frac{log x}{log 3}\\ 1.9037 &= \frac{log x}{log 3}\\ 1.9037~ log 3 &= log x\\ 0.9083 &= log x\\ 10^{0.9083} &= 10^{log x}\\ 10^{0.9083} &= x\\ 8.0965 &= x\\\\\\\\log_3 8.0965 = log_4 14 \end{split} }\] this is the process I am always asked to do to 'rewrite a logarithm with a logarithm of a different base
AccessDenied
  • AccessDenied
Yes, it only says to rewrite using A logarithm, not a quotient of logarithms or just 'using the base 3' in which case the change of base would be sufficient...

Looking for something else?

Not the answer you are looking for? Search for more explanations.