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Arturiano [62]
2 years ago
13

Why is it wrong to draw y=ln(2x-5) this way?

Mathematics
2 answers:
iogann1982 [59]2 years ago
7 0

well because he did not do it

nasty-shy [4]2 years ago
4 0

Notice how

2x-5 = 2x - 2*2.5 = 2(x-2.5)

This means we can replace x with x-2.5 in the second step, in the "wrong way" column.

So,

y = ln(2x)

y = ln( 2(x-2.5) )

y = ln( 2x - 2*2.5 )

y = ln( 2x - 5 )

In the second step, the x-2.5 tells the reader to shift the curve 2.5 units to the right. Therefore, the 1/2 = 0.5 would shift to 0.5+2.5 = 3 as indicated by the correct graph.

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