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Mathematics 13 Online
OpenStudy (anonymous):

Really quick clarification please help

OpenStudy (anonymous):

Can anyone please teach me how to solve this?

OpenStudy (anonymous):

I want to know how to solve it by paper and by calculator.. :(

OpenStudy (ghazi):

use base change formula ..it will be log2/log3

OpenStudy (anonymous):

what do you mean... log(base3)2 is equal to log2/log3..?

OpenStudy (ghazi):

\[\log _{a}B= \frac{ \log B }{ \log a }\]

OpenStudy (ghazi):

yes... is it clear?

OpenStudy (anonymous):

what do you mean by "solve" ??? do you mean to find the approximate numeric value?

OpenStudy (anonymous):

well for example, i can't solve this:

OpenStudy (ghazi):

put the values of log 2 and log 3 then calculate it's ratio

OpenStudy (ghazi):

\[\frac{ \log 4 }{ \log 2}- \frac{ \log 3 }{ \log 2 }\] similarly use the base change formula

OpenStudy (ghazi):

@isabella1205 is it clear?

OpenStudy (anonymous):

so that's this is the problem: \(\large log_34-log_32 \) ??? you're correct that it's \(\large log_32 \).... that's as EXACTLY the answer... so is the question you want it in base 10 so you can get an approximate value of the answer?

OpenStudy (anonymous):

@ghazi isn't that a very long procedure though? I'll get decimals, and how do I turn that into log form?

OpenStudy (ghazi):

take the LCM above you'll get \[\frac{ \log4-\log3 }{ \log2 }\]

OpenStudy (ghazi):

either you can use this \[\log a - \log b= \log (a/b)\] or put the numeric values

OpenStudy (anonymous):

what if I have a base number?

OpenStudy (ghazi):

whenever you have a base number use base change formula that i mentioned above

OpenStudy (anonymous):

alrightt

OpenStudy (anonymous):

thank you so much!

OpenStudy (ghazi):

:)

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