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.Com
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) (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
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