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Scorpion4ik [409]
3 years ago
15

Find the value of x if (1.1)^x=100​

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

  x ≈ 48.3177

Step-by-step explanation:

This is what logarithms are for (among other things).

  log(1.1^x) = log(100)

  x·log(1.1) = 2

  x = 2/log(1.1) ≈ 48.3177

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harkovskaia [24]

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I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...

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_____

The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.

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