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anonymous
 one year ago
PLEASE HELP WITH LOGs
IF loga5=2.32 and loga3=1.59, find loga45
anonymous
 one year ago
PLEASE HELP WITH LOGs IF loga5=2.32 and loga3=1.59, find loga45

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MrNood
 one year ago
Best ResponseYou've already chosen the best response.1so  note that 45 = 9*5 you have loga 5 and oyu have log a 3 what is the relationship betweem 3 and 9?

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1SO 9 = 3^2 So if loga3 = 1.59 what is loga 3^2

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1no this is the key point of th equestion you must be studying logs and their properties so see if you can find a way of simplifying \[\log _{a} x ^{n}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well that would be n times loga(x)

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1good  you have solved the question! so what is \[\log _{a }3^{^{2}}\]

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1no  you want to find loga(5 * 3^2)

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1you got it and you have both those numbers..... add em up!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but the answer key says 5.50 is that wrong?

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1no you wrote just now what log 3^2 is (it is in YOUR post above... what is log 9? what is log 5 add tehm together

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1YOU wrote above "well that would be n times loga(x) so what is log 9 ( it is the same as log 3^2)

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1yes  you already wrote that so now oyu can work out loga(5)+loga(9)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but im typing that into my calculator and getting 2?

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1you don't need a calculator you are given the numbers in the question what is loga 3? what is 2 loga 3? what is loga 5? soooo  what I slog a 45 you have DONE all the work  you just need to put the steps together you are using the calculator wrong  but that doesn't matter now  you don't need the calculator

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1anyhow  you can't use calc because you don't know what a is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok i forgot about the numbers so i got 5.5 with the number

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if it's not too much to ask, could you also help me with this last one? i have to condense \[\log_{4} 1281\]

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1OK it would be good if this was log 4 x  log 4 y Can you make it look like that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont think we learned that

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1so if it was to look like I said tehn we can see that log4 y = 1 what is y? (think about the meaning of what loga really means) (I think you seem to have the skills to do this...)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you mean y=128 or do you want it in exponential form?

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1no  it is not y=128 what is \[\log_{10} 10\] or \[\log_{e} e\]

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1yes so logn n =1 for any n so we can write your original equation as log4 128  log 4 4 can oyu simplify from there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got 32 but the answer is 5/2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because i did log4 128/4

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1ok  you have not quite done the simplification properly what is log a  log b?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would you use the change of base property

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1no  sorry  I was being slack in notation  forget that you are nearly there go back to log4 128  log 4 4 can oyu simplify from there? And try again  you made a small mistake....

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh i got i! you convert it to exponential so you get 5/2

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1log4 (128/4) = log4 (32) which IS 5/2 but I need to see how you got there....

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got 4^x =32 and then you do (2^2)^x=(2^5) and 2x=5 is 5/2

MrNood
 one year ago
Best ResponseYou've already chosen the best response.1OK  I see 32 = 2^5 so 4^5 /4^2
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