Consider the equation below. which system of equations can represent the equation?

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Consider the equation below. log4 x+3=log2 2+x. Which system of equations can represent the equation?

Question

Gauthmathier8975

Grade 8 · 2021-07-15

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Consider the equation below. log4 (x+3)=log2 (2+x). Which system of equations can represent the equation?

Lucila

Answer

Using: loga b = log b / log a
1) a=x+3, b=4 → y1=log4 (x+3) → y1= log (x+3) / log 4
2) a=2+x, b=2 →y2=log2 (2+x) → y2=log (2+x) / log 2
Answer:
y1=log (x+3) / log 4, y2= log (2+x) / log 2

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