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 ? Question 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 ? in progress 0 Math Audrey 2 weeks 2021-11-15T07:46:01+00:00 2021-11-15T07:46:01+00:00 1 Answer 0 views 0

## Answers ( )

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