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1. Solve for x given log2 (3x+7) = 3

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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.

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