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anonymous
 5 years ago
If (log_3 X) (log_5 3) = 3, find x
anonymous
 5 years ago
If (log_3 X) (log_5 3) = 3, find x

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Which one of these has an x?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The other one is just a multiplicative constant. You can divide it over to the other side.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0?? how? the bases are diff three and five...how can u just divide?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Because the log base 5 of 3 is just a number. Like 4/5 or the square root of 15

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0=( i still don't get it....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok here. Lets say that \[C=log_5 3\] Now your equation looks like: \[C(log_3 x) = 3\] Can you solve it now?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hmm..you know how log_b Y = x is equal the y=b^x in exponential form? how could you do that with this equation? isn't that how ur supposed to solve these things?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, but first you have to get \(log_3x\) by itself.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so it's log_3 x = 3c and then 3^3c=x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0C(log_3 x) = 3 So you have to divide by C, not multiply

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when i solve for (log_5 3)to conv to exp form, does it still equal to three, which is the what the whole equation is equal to?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That part is trickier

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0But lets see what you have with C for now.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is that (3^3)/c or 3^(3/c) ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Correct. Ok, so now to find what C is. \[C = log_5 3 \iff 5^C = 3\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, so that means that if we take the ln of both sides we get \[C(ln\ 5) = (ln\ 3)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0polpak i need ur help please

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So that means \[C = \frac{(ln\ 3)}{(ln\ 5)}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Which means that \[log_53 = \frac{(ln\ 3)}{(ln\ 5)}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, wow! thanks so much!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that makes so much more sense now.
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