Question

3.920 * (1.018)^x = 5.500

X=?​

Answer 1

19

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=(ln(1.403))/(ln(1.018))`
• Then using a calculator we get x = 18.98 ≈19