SOLUTION: Let a, b, c, d be positive integers such that loga(b)=3/2 and logc(d) =5/4. If a − c = 9, then b − d equals?
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Question 877245: Let a, b, c, d be positive integers such that loga(b)=3/2 and logc(d) =5/4. If a − c = 9, then b − d equals?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let a, b, c, d be positive integers such that loga(b)=3/2 and logc(d) = 5/4.
If a − c = 9, then b − d equals?
:
and
write the exponent equiv
:
b = and d =
solve for a and c
a = and c =
given that
a - c = 9
Substitute for a and c
- = 9
:
= + 9
b =
Plotting this equation on my Ti83, got integer solutions of
b = 125, d = 32
Find b - d
125 - 32 = 93
:
:
Check this
Find a
a = = 25
Find c
c = = 16
a - c = 9
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