SOLUTION: Use the properties of logarithms and the given information to rewrite the log base 5 of 9 in terms of X,Y, and/or Z. GIVEN: log base 5 of 7=X log base 5 of 6=Y log base 5 of 4=

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use the properties of logarithms and the given information to rewrite the log base 5 of 9 in terms of X,Y, and/or Z. GIVEN: log base 5 of 7=X log base 5 of 6=Y log base 5 of 4=      Log On


   



Question 748007: Use the properties of logarithms and the given information to rewrite the log base 5 of 9 in terms of X,Y, and/or Z.
GIVEN:
log base 5 of 7=X
log base 5 of 6=Y
log base 5 of 4=Z

Answer by sayanchaudhuri(1) About Me  (Show Source):
You can put this solution on YOUR website!
see x=log_(5)[7]=ln(7)/ln(5)
y=log_(5)[6]=ln(2)/ln(5)+ln(3)/ln(5)
z=2*ln(2)/ln(5)
so now log_(5) [9]=2*ln(3)/ln(5)=2-2*ln(2)/ln(5)
=>log_(5)[9]=2y-z