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Describe Correct the Error 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

Problemas

Describe and correct 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 2^3x+3=2^2x-5 B. The student did not distribute 3in(2^3)^x+3 across x+3 C. The student should have expressed the initial rational exponent as the sum of two rational exponents. D. The student did not convert 8 to the correct power of 2 The correct answer is x=square (Simplify your answer.)

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Paulina maestro · Tutor durante 5 años
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Respuesta

The student made an error in the second step of solving the equation. The correct way to rewrite is , which simplifies to . Therefore, the correct equation should be . From there, we can equate the exponents to get . Solving this equation gives .The correct answer is .