SOLUTION: Could you please help me with this problem Use: log of 3 in base x = .275 and log of 5 in base x = .732 Find: log of 15 to the 2 power in base x

Question 27976: Could you please help me with this problem

Use: log of 3 in base x = .275 and log of 5 in base x = .732
Find: log of 15 to the 2 power in base x

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
log of 3 in base x = .275 and log of 5 in base x = .732
Find: log of 15 to the 2 power in base x
WE USE THE FORMULAE
LOG A TO BASE X = LOG(A)/LOG(X)... AND ...LOG (A*B) = LOG(A)+LOG(B)...AND...
LOG (A)^N=N*LOG(A)
log of 3 in base x = .275 =LOG(3)/LOG(X)................I
log of 5 in base x = .732 =LOG(5)/LOG(X)...............II
log of 15 to the 2 power in base x =LOG(15)^2/LOG(X)=LOG(3*5)/LOG(X)
=2*{LOG(3)+log(5)}/LOG(X)=2*{LOG(3)/LOG(X) + LOG(5)/LOG(X)}=2*(0.275 + 0.732) = 2*1.007=2.014

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