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Home > INT3 > Chapter 10 > Lesson 10.3.3 > Problem 10-184

10-184.
  1. Natural logs (written loge(x) or ln (x)) and exponential expressions with base e are often used in formulas. Many problems can be solved equally well using either a base-10 logarithm or a natural logarithm. Solve each of the following problems, first using the key (base 10) and then using the key (base e) on your calculator. Homework Help ✎

    1. 10,000(1.08)x = 20,000

    2. 30,000(0.8)x = 15,000

    3. Interpret the answer for part (a) if the equation represents an amount of money invested at 8% annual interest.

    4. Interpret the answer for part (b) if the equation represents the price paid for a car that depreciates 20% per year.

log(1.08x) = log2

x · log(1.08) = log2

9.00646832

You should get the same answer using natural logs.

See part (a).

What does x represent in this equation?

What does x represent in this equation?