Part 2 of 2 Describe and corred the error a student made when starting to solve the equation 8^x+3=2^2x-5 8^x+3=2^2x-5 (2^3)^x+3=2^2x-5 B. The student should have expressed the initial rational exponent as the sum of two rational exponents C. The student should have divided both sides by 2^2 to simplify the expression. D. The student did not convert 8 to the correct power of 2 The comect answer is x=square (Simplify your answer)

The student made an error when converting 8 to the correct power of 2. The correct conversion should be . Therefore, the correct answer is D. The student did not convert 8 to the correct power of 2.To solve the equation , we can rewrite 8 as and then use the property of exponents that states .So, the equation becomes .Simplifying the left side, we get .Since the bases are the same, we can set the exponents equal to each other: .Solving for x, we get .Subtracting 2x from both sides, we get .Subtracting 9 from both sides, we get .Therefore, the correct answer is .