Intermediate Algebra
Unit 9: Logarithms
Logarithms & Word Problems:
Do Now:
(1) When solving for an unknown exponent, use
x
(2) Solve for x and round your answer to four decimal places:
3.4
= 180.7
(3) A certain car depreciates in value 16% each year.
(a) Write an exponential function to model the depreciation of a car that cost
$32,500 when purchased new.
(b) Suppose the car was purchased in 2010. What is the first year the car will be worth
less than half its original value? (Solve algebraically.)
(4) Alex invested $2500 at a rate of 2.3% in the bank. If the interest is compounded
daily, when will Alex’s money double? Round your answer to the nearest year.
20