SOLUTION: Given logb(3x) = 25 and logb(27) = k - 3logb(x) then the value of k is what?
*The 'b' after the log that is NOT in brackets is the base of the log.
*Also we have a formula sheet
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Question 453192: Given logb(3x) = 25 and logb(27) = k - 3logb(x) then the value of k is what?
*The 'b' after the log that is NOT in brackets is the base of the log.
*Also we have a formula sheet with all of the Log Laws
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Given logb(3x) = 25
logb(27) = k - 3logb(x) then the value of k is what?
..
k=logb(27)+3logb(x)
k=logb(3^3)+3logb(x)
k=3logb(3)+3logb(x)
k=3(logb(3)+logb(x)
k=3logb(3x) (convert to single log)
logb(3x) = 25
k=3*25=75 (ans)
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