Exponential and Logarithmic Function Review

Inverse Functions (6.1)

100

Evaluate log₂32

5

200

Evaluate log₆36

2

500

Evaluate log₅(2x+3)

sqrt 5^x-3/2

Condense and Expand logarithm (6.5)

200

Condense the logarithm: log a + 7 log d

log ad⁷

300

Condense the numerical logarithm in its simplest form.

2log_b3+log_b9

log_b(81)

500

DOUBLE POINTS!!!

Condense the expression: 1/2(log₅x+log₅y)-2log₅(xh)

log₅(xy)^1/2-log₅(xh)²

Word Problems (6.2)

200

Plug in the Exponential Formula

A person places $7760 in an investment account earning an annual rate of 5%, compounded continuously. Using the formula V=Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 12 years.

$14,942.72

500

Sophie invested $26,000 in an account paying an interest rate of 6 1/4% compounded continuously. Sydney invested $26,000 in an account paying an interest rate of 5 5/8%, compounded monthly. After 20 years, how much more money would Sophie have in her account than Sydney, to the nearest dollar.

2188 more

(6.3) Multi-Step Logarithmic Formulas

100

Evaluate Log₅(625)

4

200

What is the value of Log₂(64)

6

500

for the function e^x 1/4/4, find f^-1(x)

f^-1(x)= [ln(4x)]⁴

Solve the Equation(6.6)

200

Solve for X, round to the neartest hundredth: 38e^x=190

x=1.61

500

Solve for x to the nearest 10th.

200=670(1.015)^x/2-710

x=41.1