Unit 5 Review

Expanding Logs

100

Expanded form of log₄(xy) 

What is log₄(x) + log₄(y)?

200

Expanded form of log₉(4/t)

What is log₉(4) - log₉(t) ?

300

Expanded form of log₃(cd/w)

What is log₃(c) + log₃(d) - log₃(w) ?

400

Expanded form of log₅((xy²a)⁴)

What is 4log₅(x) + 8log₅(y) + 4log₅(a) ?

500

Expanded form of log₃(cd√(ab))

What is log₃(c)+log₃(d)+1/2log₃(a)+1/2log₃(b) ?

Condensing Logs

100

Condensed Form of log₇(a)+log₇(b)

What is log₇(ab) ?

200

Condensed Form of log₄(x)-log₄(a) 

What is log₄(x/a) ? 

300

Condensed form of log₆(g)+log₆(a)-log₆(o)

What is log₆(ga/o) ?

400

Condensed form of 3log₂(y)+6log₂(z)

What is log₂(yz²)³ ?

500

Condensed Form of log₇(z)+1/2log₇(x)+1/2log₇(y)

What is log₇(z√(xy)) ?

Rewriting Logs

100

Log form of 3²=9

What is log₃(9)=2 ?

200

Log form of 20^x=10

What is log₂₀(10)=x ?

300

Log form of 19²=361

What is log₁₉(361) = 2 ?

400

Exponential form of 15.2=log_k(w)

What is k^15.2=w ?

500

Exponential Form of 359=log₂(x)

What is 2³⁵⁹=x ? 

Solving Logs

100

Solve 30^x=10

What is log₃₀(10)=x

x=3 ?

200

Solve 5^z=55π

What is log₅(55π)=x

x=3.2 ?

300

Solve 874=1.7^x

What is log_1.7(874)=x

x=2.39 ?

400

Solve 42=2.1^x

What is log_2.1(42)=x

x=5.03?

500

Solve 5^n-9+1=91

What is 5^n-9+1=91

-1

5^n-9=90

log₅(90)=n-9

+9

n=11.8

Intro/Graphing Logs

100

Evaluate log₅(28)

What is log(28)/log(5)=2.07 ?

200

Evaluate log₃(45)

What is log(45)/log(3)=3.46 ?

300

Evaluate log₈(50π)

What is log(50π)/log(8)=2.39 ?

400

Graph f(x)=log₁₀(x+2)-1

Critical Points : (-2,-1) (1, 10)

500

Graph log₃(x)+3

Critical Points = (1,3) (3,4)