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Having a tough time with this question:

 

If log10(x) = 3 + log10(y), find x/y.

 

Not really sure how to approach it. Thanks

 Mar 22, 2021
 #1
avatar+117624 
+2

log10 x  = 3  + log 10 y

 

Note  that   3  =  log 10 1000

 

So we actually have

 

log 10 x   =  log 10 1000  +  log 10 y       and  by  a log property  we  can write

 

log 10 x  =   log 10 ( 1000* y )

 

This implies that

 

x =  1000y       divide both sides  by  y

 

x / y   = 1000

 

cool cool cool

 Mar 22, 2021

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