A salon buys a hair dryer for $500 The dryer depreciates at a rate of 25% annually. How many years will it take for the dryer's value to reach $100 ? The equation modeling this depreciation is y=500⁢(0.75)^x

Set the dryer’s value equal to $100: 500(0.75)^x = 100, so (0.75)^x = 0.2. Taking logarithms gives x = ln(0.2) ÷ ln(0.75) ≈ 5.59 years, so the value reaches $100 after about 5.59 years.

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