if 6 to power a= 2 6 to the power b= 5 6 to power c= 15 then the value of c in term of a and b is ?
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Step-by-step explanation:
6^A=2 ----------------------1)
6^B=5 -----------------------2)
6^Q= 15 ---------------------3)
multiplying 1,2,3 together, we have
6^(A+B+Q)= 2*5*15
= 2*3*5^2
=6*5^2
from 2, we have 5^2= 6^2B
=6*6^2B
=6^2B+1
thus
A+B+Q=2B+1
Q=B-A+1If , , and , then express Q in terms of A and/or B.
(A) 3B
(B) B + 3
(C) 5A + B
(D)
(E) B - A + 1
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