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Mathematics 7 Online
OpenStudy (anonymous):

log help

OpenStudy (anonymous):

whats up?

OpenStudy (anonymous):

sec.

OpenStudy (anonymous):

kk

OpenStudy (anonymous):

\[\log_{3}46/2 = \log_{10}46/2\log_{10}3 \] ?

OpenStudy (anonymous):

text says to do it one way, prof says another way but they yield different answers.

OpenStudy (anonymous):

hm, calculator, or no calculator?

OpenStudy (anonymous):

3^2x=46 is the original problem. The book says to take log 10 to each side and pull the 2x in front of the log.. my prof says to log 3 to each side

OpenStudy (anonymous):

so book gets x=\[\left(\begin{matrix}\log46 \\2\log3 \end{matrix}\right)\]

OpenStudy (anonymous):

Lol, mkay, so you just take the log of each. ~log3^2x=log46 ~2xlog3=log46 ~x=(log46)/(2log3)

OpenStudy (anonymous):

then that equals like 1.742...... plug it back in and its pretty exact.

OpenStudy (anonymous):

so it doesnt work do log 3 to each side?

OpenStudy (anonymous):

gimme a sec..

OpenStudy (anonymous):

\[\log_{3} 3^{2x}=\log_{3} 46\]

OpenStudy (anonymous):

no, long answer short, when u divide JUST the log3 over, then the '2' you mess up the equation. not gunna explain why unless u want me too

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

\[2^{x-1}=7\]

OpenStudy (anonymous):

i get \[\log_{2} 7+1\]

OpenStudy (anonymous):

yeah, i got (log7 / log2) +1 same answer

OpenStudy (anonymous):

is that the same then as \[\left(\begin{matrix}\log7 \\ \log2\end{matrix}\right)+1\]

OpenStudy (anonymous):

without parens.. i dont know how to do fractions otherwise

OpenStudy (anonymous):

ok nm i am too slow

OpenStudy (anonymous):

thanks for your help.

OpenStudy (anonymous):

yeah it is. Im pretty sure.

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