Answer:
x = 1/3
Explanation:
To solve the equation log2(3x + 7) = 3, we can start by applying the definition of logarithms. In logarithmic form, the equation can be rewritten as:
2^3 = 3x + 7
Simplifying the left side of the equation gives:
8 = 3x + 7
Next, we isolate the variable x by subtracting 7 from both sides of the equation:
8 - 7 = 3x
1 = 3x
To solve for x, divide both sides of the equation by 3:
1/3 = x
Therefore, the solution to the equation log2(3x + 7) = 3 is x = 1/3.