Evaluate Logs

Rewrite Log to Exponential

100

log_8 64=2

8^2=64

200

log_2 64=6

2^6=64

300

log_8 \frac{1}{64}=-2

8^-2=1/64

400

log_121 \frac{1}{11}=-1/2

121^-\frac{1}{2}=1/11

Rewrite Exponential to Log

100

4^2=16

log_4 16=2

200

9^3=729

log_9 729=3

300

7^-2=1/49

log_7 \frac{1}{49}=-2

400

(1/6)^3=1/216

log_\frac{1}{6} \frac{1}{216}=3

Evaluate Logs (Find b)

100

log_b 25=2

b=5

200

log_b 8=3

b=2

300

log_b \frac{1}{16}=-2

b=4

400

log_b 3 =1/2

y=9

68419

Final Jeopardy

Choose one person to answer the question and write how much points you want to bet.

Find b

log_b 81=4

Evaluate Logs (Find x)

100

log_5 x=2

x = 25

200

log_5x=-2

x=1/25

300

log_25x=\frac{1}{2}

x=5

400

log_25x=-\frac{1}{2}

x=1/5

Evaluate Logs (Find y)

100

log_6 36=y

y=2

200

log_2 8=y

y=3

300

log_4 \frac{1}{16}=y

y=-2

400

log_36 6 = y

y=1/2