Solve the equation.
\[
2^{5 x+1}=4
\]
The solution set is
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Answer

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Answer

Final Answer: The solution to the equation is \(\boxed{\frac{1}{5}}\).

Steps

Step 1 ：The given equation is an exponential equation. To solve it, we need to express both sides of the equation with the same base. Since 4 can be expressed as \(2^2\), we can rewrite the equation as \(2^{5x+1} = 2^2\).

Step 2 ：Since the bases are equal, the exponents must also be equal. This gives us the equation \(5x+1 = 2\).

Step 3 ：Solving this equation for x will give us the solution to the original equation. The solution is \(x = \frac{1}{5}\).

Step 4 ：Final Answer: The solution to the equation is \(\boxed{\frac{1}{5}}\).

Solve the equation.\[2^{5 x+1}=4\]The solution set is(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Answer

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Solve the equation.
\[
2^{5 x+1}=4
\]
The solution set is
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)