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Logarithms

question 1 of 1 Grade: Eleven - G11
question 1 of 1 Grade: Eleven - G11

Q: Solve log₃(2x+1) - 2 = log₃(3x-11).

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Did You Know?

First find the antiderivative: ∫(2 + x - x²)dx = 2x + x²/2 - x³/3 + C. Evaluate from -1 to 2: [2(2) + (2)²/2 - (2)³/3] - [2(-1) + (-1)²/2 - (-1)³/3] = [4 + 2 - 8/3] - [-2 + 1/2 + 1/3] = [6 - 8/3] - [-3/2 + 1/3] = [10/3] - [-7/6] = 10/3 + 7/6 = 20/6 + 7/6 = 27/6 = 9/2 = 4.5

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Did You Know?

First find the antiderivative: ∫(2 + x - x²)dx = 2x + x²/2 - x³/3 + C. Evaluate from -1 to 2: [2(2) + (2)²/2 - (2)³/3] - [2(-1) + (-1)²/2 - (-1)³/3] = [4 + 2 - 8/3] - [-2 + 1/2 + 1/3] = [6 - 8/3] - [-3/2 + 1/3] = [10/3] - [-7/6] = 10/3 + 7/6 = 20/6 + 7/6 = 27/6 = 9/2 = 4.5

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