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Consider the equation below. log4 (x+3)=log2 (2x). Which system of equations can represent the equation?
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Feb 22, 2018
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Consider the equation below. log4 (x+3)=log2 (2x). Which system of equations can represent the equation?
Mathematics
high-school
Daiwen
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Full problem. The reason people can't answer the question is because ya'll don't post all the information.
Wasd
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Feb 25, 2018
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Note that
Therefore, given
log₄(x+3) = log₂(2x), obtain
Because
log₂4 = log₂ 2² = 2 log₂ 2 = 2, therefore
x + 3 = (2x)² = 4x²
4x² - x - 3 = 0
This factorizes into
(4x + 3)(x - 1) = 0
Answer:
4x² - x - 3 = 0
or
4x + 3 = 0, and
x - 1 = 0
Andzep
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Feb 27, 2018
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Andzep
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