Question

What is the solution to the equation root 3^x-1= -4

Answer 1

Has no solution.

Explanation:

To solve the equation 3x−1=−43x−1=−4, we need to isolate x. Here's the step-by-step process:

Add 1 to both sides of the equation: 3x=−33x=−3.

Take the logarithm base 3 of both sides to solve for x:x =log⁡3(−3)

However, you'll notice that you can't take the logarithm of a negative number (since logarithms are defined for positive numbers). This means that the equation 3x−1=−4 has no real solutions. If you're looking for complex solutions, you can use complex logarithms, but in the realm of real numbers, this equation does not have a solution.