Alykasym Alykasym

22-05-2020
Mathematics

contestada

3.920 * (1.018)^x = 5.500

X=?

Respuesta :

annaboglino annaboglino

22-05-2020

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: [tex]x=\frac{ln(1.403)}{ln(1.018)}[/tex]
Then using a calculator we get x = 18.98 ≈19

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