Logarithm Review Quiz Game

Evaluate Logarithms

100

Evaluate the logarithm log₄4

1

200

Evaluate the logarithm log₃81

4

300

Evaluate the logarithm log₂1024

10

400

Evaluate the logarithm log₂₇9

2/3

500

Evaluate the logarithm log_(1/3)81

-4

log <--> exp

100

Rewrite 81 = 3⁴ in logarithmic form

log₃81=4

200

Rewrite 1000=10³ in logarithmic form

log(1000)=3

or

log₁₀1000=3

300

Rewrite 49^(1/2)=7 in logarithmic form

log₄₉7=(1/2)

400

Rewrite log₄8=(3/2) in exponential form

4^(3/2)=8

500

Rewrite log₃81=4 in exponential form

3⁴=81

Product, Quotient, Power Rules

100

Expand log₄(3y)

log₄3 + log₄y

200

Expand log₉(x⁷)

7log₉(x)

300

Expand ln(7/3)

ln(7) - ln(3)

400

Rewrite log(6) - log(3) in the form log(c)

log(2)

500

Rewrite 3log(5) in the form log(c)

log(125)

Change of Base Rule

100

Rewrite log₃(a) * log(3) in the form log(c)

log(a)

200

Evaluate ln(8) / ln(2)

3

300

Rewrite log₉(m) / log(m)

1 / log(9)

400

Rewrite log₄(m) * log_m(20) in the form log_b(c)

log₄(20)

500

Evaluate 6log₇(681) to the nearest hundredth

20.115

Solve Exponential Equations

100

Solve the equation for t. Round your answer to the nearest thousandth. 

11 * 10^5t = 20

0.052

200

Solve the equation for t. Round your answer to the nearest thousandth.

7 * e^0.1t = 47

19.042

300

Solve the equation for m. Express the solution as a logarithm in base-10.

5 * 10^(m/4) = 32

4log(32/5)

400

Solve the equation for y. Express the solution in exact form.

-100 * 2^0.5y = -5

log₂(1/20) / 0.5

or

2log₂(1/20)

500

Solve the equation for t. Express the solution in exact form.

8 * 5^(-t/9) = 346

-9log₅(173)