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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 23r+3= Choose the correct answer below. A. The student did not distribute 3in(2^3)^x+3 across x+3 B. The student should have divided both sides by 2^2 to simplify the expression. C. The student did not convert 8 to the correct power of D. The student should have expressed the initial rational exponent as the sum of two rational exponents

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 23r+3= Choose the correct answer below. A. The student did not distribute 3in(2^3)^x+3 across x+3 B. The student should have divided both sides by 2^2 to simplify the expression. C. The student did not convert 8 to the correct power of D. The student should have expressed the initial rational exponent as the sum of two rational exponents

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 23r+3= Choose the correct answer below. A. The student did not distribute 3in(2^3)^x+3 across x+3 B. The student should have divided both sides by 2^2 to simplify the expression. C. The student did not convert 8 to the correct power of D. The student should have expressed the initial rational exponent as the sum of two rational exponents

Solución

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Pedroexperto · Tutor durante 3 años
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La respuesta correcta es:<br /><br />C. El estudiante no convirtió 8 en la potencia correcta.<br /><br />El error que cometió el estudiante fue no convertir 8 en la potencia correcta antes de aplicar la propiedad de los exponentes. La ecuación original es $8^{x+3}=2^{2x-5}$, y el estudiante debería haber convertido 8 a $2^3$ antes de aplicar la propiedad de los exponentes.
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