SOLUTION: Let 2^a = 6 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b. 7^x = 1/32

Algebra ->  Exponents -> SOLUTION: Let 2^a = 6 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b. 7^x = 1/32       Log On


   

Question 999783: Let 2^a = 6 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b.
7^x = 1/32
Answer by Alan3354(69443) About Me  (Show Source):
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Let 2^a = 6 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b.
7^x = 1/32
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2^b = 7
7^x = 2^(bx) = 1/32 = 2^(-5)
bx = -5
x = -5/b
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