LESSON - TaiSee Island
In Class Practice
Exponential and Logarithmic Equations
Solve and check.
1. 42x ’ 6 2. 82x − 5 ’ 48 3. 4x + 2 ’ 20
4. 35x ’ 272x + 1 5. 36x + 2 ’ 64x 6. 55x − 6 ’ 50
7. 163x ’ 64x + 9 8. 81x ’ 243x + 2 9. [pic]
Solve.
10. log2 x7 ’ 21 11. log5 x3 ’ 15 12. log6 (x − 4)2 ’ 2
___________________ ___________________ ___________________
13. log x − log 9 ’ 3 14. log x + log 4 ’ 1 15. log (x + 6) ’ log (5x − 2)
Solve.
16. Halle deposited $4000 into an account that earns 5% interest continually. The
growth of her investment can be expressed by the exponential equation
A ’ 4000 e0.05t, where A is the amount in the account after t years. In how
many years will her account exceed $10,000?
17. The population of a small farming community is declining at a rate of 7%
per year. The decline can be expressed by the exponential equation
P ’ C (1 − 0.07) t , where P is the population after t years and C is the current
population. If the population was 8,500 in 2004, when will the population be
less than 6,000?
18. Lorena deposited $9000 into an account that earns 4.25% interest each year.
a. Write an equation for the amount, A, in the
account after t years.
b. In how many years will her account exceed
$20,000?
c. If she waits for 50 years, how much will be
in her account?
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