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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 A. The student did not distribute 3in(2^3)^x+3 across x+3 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. 0. The student dic not convert 8 to the correct power of 2

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 A. The student did not distribute 3in(2^3)^x+3 across x+3 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. 0. The student dic not convert 8 to the correct power of 2

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 A. The student did not distribute 3in(2^3)^x+3 across x+3 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. 0. The student dic not convert 8 to the correct power of 2

Solución

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Samuelmaestro · Tutor durante 5 años
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The error the student made when starting to solve the equation $8^{x+3}=2^{2x-5}$ is:<br /><br />D. The student did not convert 8 to the correct power of 2.<br /><br />The correct step should be to express 8 as $2^3$, so the equation becomes $(2^3)^{x+3}=2^{2x-5}$. Then, apply the power of a power rule to simplify the left side of the equation.
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