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inysia [295]
3 years ago
14

3.920 * (1.018)^x = 5.500X=?​

Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer:

19

Step-by-step explanation:

3.920(1.018)ˣ = 5.500

  • First we can divide both sides by 3.920 to get: (1.108)ˣ = 1.403
  • Then we can take the natural log of both sides to get: ln[(1.108)ˣ] = ln(1.403)
  • We can then use logarithmic rules to move the x exponent to the front: xln(1.108) = ln(1.403)
  • Then we can divide both sides by ln(1.108) to get: x=\frac{ln(1.403)}{ln(1.018)}
  • Then using a calculator we get x = 18.98 ≈19
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