Solve each equation for x. (For each answer, enter an exact number.)(a)e6x + 2 − 4 = 0

To solve the equation e^(6x) + 2 - 4 = 0 for x, follow these steps:

Step 1: Simplify the equation. The equation simplifies to e^(6x) - 2 = 0.

Step 2: Isolate the exponential term. To do this, add 2 to both sides of the equation to get e^(6x) = 2.

Step 3: To solve for x, you need to get rid of the base e. You can do this by applying the natural logarithm (ln) to both sides of the equation. This gives you ln(e^(6x)) = ln(2).

Step 4: Use the property of logarithms that allows you to bring down the exponent, which gives you 6x = ln(2).

Step 5: Finally, solve for x by dividing both sides of the equation by 6. This gives you x = ln(2)/6.