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Pandae Group TitleBest ResponseYou've already chosen the best response.0
tell your teacher this isnt helpful in the real world
 2 years ago

NatalieLove Group TitleBest ResponseYou've already chosen the best response.0
i don't have a teacher.
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.0
logarithms can be helpful, depending on what you're actually doing in the real world. :)
 2 years ago

Dockworker Group TitleBest ResponseYou've already chosen the best response.4
\[\frac{\log_{3}14}{\log_{3}4}\]change of base
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.0
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
 2 years ago

AnimalAin Group TitleBest ResponseYou've already chosen the best response.0
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.
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.0
\[ \large{ \begin{split} log_4 14 &= log_3 x\\ \frac{log 14}{log 4} &= \frac{log x}{log 3}\\ 1.9037 &= \frac{log x}{log 3}\\ 1.9037~ log 3 &= log x\\ 0.9083 &= log x\\ 10^{0.9083} &= 10^{log x}\\ 10^{0.9083} &= x\\ 8.0965 &= x\\\\\\\\log_3 8.0965 = log_4 14 \end{split} }\] this is the process I am always asked to do to 'rewrite a logarithm with a logarithm of a different base
 2 years ago

AccessDenied Group TitleBest ResponseYou've already chosen the best response.0
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...
 2 years ago
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