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Solve for x. 2^3x=4 Select the correct choice below and, if necessary.fill in the answer box to complete your choice. A. The solution is x=square (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution is not a real number.

Pergunta

Solve for x.
2^3x=4
Select the correct choice below and, if necessary.fill in the answer box to complete your choice.
A. The solution is x=square 
(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)
B. The solution is not a real number.

Solve for x. 2^3x=4 Select the correct choice below and, if necessary.fill in the answer box to complete your choice. A. The solution is x=square (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution is not a real number.

Solução

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GustavoProfissional · Tutor por 6 anos

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To solve the equation $2^{3x}=4$, we can rewrite 4 as $2^2$. Then, the equation becomes $2^{3x}=2^2$. Since the bases are the same, we can set the exponents equal to each other: $3x=2$. Dividing both sides by 3, we get $x=\frac{2}{3}$. Therefore, the correct choice is A. The solution is $x=\frac{2}{3}$.
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