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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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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Audrey 2 weeks 2021-11-15T07:46:01+00:00 1 Answer 0 views 0

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    2021-11-15T07:47:38+00:00

    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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