Question

Select the correct answer.

What is the solution to this equation?
In (x + 6)- In (2x − 1) = 0
O A.
x = -5
OB. = -7
x
O c. x = 7
O D.
x = 5

Answer 1

To find the solution to the equation ln(x + 6) - ln(2x - 1) = 0, we can use logarithmic properties to simplify the equation. The equation ln(x + 6) - ln(2x - 1) = 0 can be rewritten using the logarithmic property ln(a) - ln(b) = ln(a/b): ln((x + 6)/(2x - 1)) = 0 To solve for x, we can exponentiate both sides of the equation using the property e^(ln(x)) = x: e^(ln((x + 6)/(2x - 1))) = e^0 Simplifying further: (x + 6)/(2x - 1) = 1 Next, we can cross-multiply: x + 6 = 2x - 1 Subtracting x from both sides: 6 = x - 1 Adding 1 to both sides: 7 = x Therefore, the solution to the equation ln(x + 6) - ln(2x - 1) = 0 is x = 7. Please let me know if you have any further questions or need clarification

Explanation: