Solving Logarithmic Equations: Key Concepts and Techniques

What is the initial equation given in the problem?

• ln(2x - 3) = ln(x + 4)

• ln(2x + 3) = ln(x - 4)

• ln(x + 3) = ln(2x - 4)

• ln(x - 3) = ln(2x + 4)

What does the one-to-one property of logarithms state?

• log base b of x is equal to log base b of y implies x is not equal to y

• log base b of x is equal to log base b of y implies x is greater than y

• log base b of x is equal to log base b of y implies x is less than y

• log base b of x is equal to log base b of y implies x equals y

What is the base of natural logarithms?

• 2

• e

• 1

• 10

After applying the one-to-one property, what equation do we get?

• x - 3 = 2x + 4

• x + 3 = 2x - 4

• 2x + 3 = x - 4

• 2x - 3 = x + 4

What is the value of x after solving the equation?

• 5

• 6

• 8

• 7