Really quick clarification please help
Can anyone please teach me how to solve this?
I want to know how to solve it by paper and by calculator.. :(
use base change formula ..it will be log2/log3
what do you mean... log(base3)2 is equal to log2/log3..?
\[\log _{a}B= \frac{ \log B }{ \log a }\]
yes... is it clear?
what do you mean by "solve" ??? do you mean to find the approximate numeric value?
well for example, i can't solve this:
put the values of log 2 and log 3 then calculate it's ratio
\[\frac{ \log 4 }{ \log 2}- \frac{ \log 3 }{ \log 2 }\] similarly use the base change formula
@isabella1205 is it clear?
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?
@ghazi isn't that a very long procedure though? I'll get decimals, and how do I turn that into log form?
take the LCM above you'll get \[\frac{ \log4-\log3 }{ \log2 }\]
either you can use this \[\log a - \log b= \log (a/b)\] or put the numeric values
what if I have a base number?
whenever you have a base number use base change formula that i mentioned above
alrightt
thank you so much!
:)
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