Evaluating Logs
Evaluate the log:
log_3 27
3
Solve for x:
log_4x=2
16
What is the decimal representation of 100%?
1
What does "n" represent in the compound interest formula?
Number of times that the rate is compounded over ONE period of time.
Condense the logarithm:
log_5 13 +log_5 x
log_5 13x
Evaluate the log:
log_5 5
1
Solve for x:
2^x=64
x=6
What operation is used to represent exponential decay?
Subtraction
Write the compound interest formula
A=P(1+r/n)^(nt)
Expand the logarithm fully:
log_3((5x^2)/(4))
log_3 5+2log_3 x-log_3 4
Evaluate the log, round to the nearest 100th
log47
1.67
Solve for x:
-3log_11x=3
x=1/11
An employee receives a 2% raise oncer per year. if the Employees initial salary is $69,400, how large of a raise can he expect for the next year?
$1388
Elisa invests $3,559 in a savings account with a fixed annual interest rate of 3% compounded 3 times per year. What will the account balance be after 10 years?
$4,796.99
Solve for x:
log_9(-x-1)+log_9 2 = log_9 16
x=-9
Evaluate the log, round to the nearest 100th:
log_17 109
1.66
Solve for x, round to the 100ths place:
13^x+5.4=11
x=0.67
A new social media site in increasing its user base by approximately 3% per month. If the site currently has 20,820 users, what will the approximate user base be 6 months from now?
24,860
Adam invests $8,814 in a savings account with a fixed annual interest rate of 5% compounded 2 times per year. How long will it take for the account balance to reach $12,453.95?
7 years
Solve for x:
log_8(x-2) - log_8 (x+4) = 2
No solution
Evaluate the log, round to the nearest 100th:
ln3e
2.10
Solve for x, round to the 100ths place:
4*19^(2x-7)+8=46
x=3.88
A savings account balance is compounded annually. If the interest rate is 4% per year and the current balance is $1,800, in how many years will the balance reach $2,561.96?
9 years
Jenny invests $2,625 in a retirement account with a fixed annual interest rate compounded 4 times per year. After 17 years, the balance reaches $4,363.08. What is the interest rate of the account?
3%
Solve for x:
log(3x^2-4)-log8=1
+-2sqrt(7)