Question

PLEASE HELP!! THANK Y WILL GIVE BRAINLIEST IF U GIVE A GOOD EXPLANATION 4) Which of the following is the solution to the equation shown below in terms of the unknown constant a?

Answer 1

Answer:

(1) x = (1/3)a

Step-by-step explanation:

Note that 8 = 2^3 and 1/2 = 2^(-1). So, 8^(x-2a) = 2^(3(x-2a)) = 2^(3x-6a) and (1/2)^5a = 2^((-1)(5a)) = 2^(-5a). Setting these equal we get: 2^(3x-6a)=2^(-5a). We can notice that the exponents must be equal, so 3x-6a = -5a. Adding 6a on both sides, we get: 3x = a. Then, we divide by 3 on both sides and get: x = (1/3)a

i hope this helps!!! :)