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- anonymous

Solve log7 (x – 8) – log7 3 = log7 21

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- anonymous

Solve log7 (x – 8) – log7 3 = log7 21

- schrodinger

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- anonymous

Try to show you work :)
Whenever you stop i will help ..

- anonymous

ok

- anonymous

x-8/3=21

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- anonymous

Nope.
Show your work step by step to see which part is hard ?

- anonymous

no this is where im stuck at

- anonymous

hmm,Actually thats wrong and that mean that the previous step which lead to this was wrong..

- anonymous

Btw : here is hint
\[Logx=Logy\]
x=y

- anonymous

well all i did was put log7(x-8)over log7(3)=log7 21
then just took off the log7

- anonymous

Its not \[ \Large \frac{Log_{7}(x-8)}{Log_{7}(3)}\]
It is :
\[ \Large Log_{7} \frac{(x-8)}{(3)}\]

- anonymous

So now u have
\[ \Large \frac{x-8}{3}=21\]
63=x-8
x=71

- anonymous

ok but were did you get 63

- anonymous

ooh neverminod i got it thanks

- anonymous

21*3

- anonymous

lets look over some basic properties such as log(a/b) = log a - log b and log(a*b)= log a + log b and if logx= log y then x=y
just because everything is in the base of 7 we could use these properties as well so therefore from your question
log7 (x – 8) – log7 3 = log7 21 let us use the first property on the left side and get log7((x-8)/3) = log 7 21and now let us use the third property to obtain (x-8)/3 = 21
and that will get us x-8 = 63 and now solve for x to obtain x = 71 :)

- anonymous

thanks for the help everyone.I really needed it

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