Let m logb a and n logb x 1 Then a and x Solutiona power

Let m = log_b a and n = log_b x.

1. Then a =

and x =

Solution

a = power of b in numerator

anx = power of b in numerator

(b^x/b^a) = b^(x-a) --Quotient property of exponent

log(b^x/b^a) = logb^(x-a)

= (x-a)logb

= xlogb - alogb

= n - m