Question

Use properties of logarithms to solve log₂(3x + 5) = 2.

a) x = 1/3
b) x = 2
c) x = 9/2
d) x = -5/3

Answer 1

To solve the equation log₂(3x + 5) = 2 using properties of logarithms, rewrite the equation in exponential form and solve for x: x = -1.

Step-by-step explanation:

To solve the equation log₂(3x + 5) = 2 using properties of logarithms, we can rewrite the equation in exponential form. In exponential form, log₂(3x + 5) = 2 is equivalent to 2 = 3x + 5. We can then solve for x by subtracting 5 from both sides and dividing by 3: 2 - 5 = 3x, -3 = 3x, and dividing by 3 gives us x = -1.