Question

find the solution of (5/12) to the power x-2 = (12/5) to the power x-3​ give step by step explanation​

Answer 1

Answer:

(5/12)^x-2=(12/5)^x-3

(12/5)^-x-2=(12/5)^x-3. (power will become negative if the rational no. is reciprocaled)

-x-2=x-3. (Base are same)

-x-x=-3+2

-2x=-1

x=-1/-2. (negative sign cancelled by each other)

x=1/2

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