Logarithms and Exponentials Review

Evaluating Logs

100

Evaluate: log₃81=

4

200

Evaluate: log₄(1/16)=

-2

300

Evaluate (round to 3 decimal places): log567=

2.754

400

Evaluate (round to 3 decimal places):  log₅422=

3.756

500

Evaluate (round to 3 decimal places): log₇₀5=

0.379

Solve Exponentials

100

Solve: 7^x=343

x=3

200

Solve: 6^x= 1/216

x=-3

300

Solve: 5^x=380

(round to 3 decimal places)

x=3.691

400

Solve: 13^x=10

(round to 3 decimal places)

x=0.898

500

Solve: (1/2)^x=34

(round to 3 decimal places)

x=-5.087

Mixed Bag

100

Write the equation: There are 8 ants and they double in number every week.

y=8(2)^x

200

The name of the little girl that takes the train to the North Pole with Frosty

who is Karen?

300

The pet who led the Grinch's sleigh into whoville

Who is MAX?

400

Write the equation: You deposit $15 in an account that earns 2% interest once a month.

y=15(1.02)^x

500

on the 7th day of Christmas, my true love gave to me

what are 7 swans a swimming?

Solving Logarithms

100

Solve: log₃x=2

x=9

200

Solve: log₅x=-3

x= 1/125

300

Solve: logx=4

x=10000

400

Solve: log₇x=2.5

x=129.642

500

Solve: log_3.4x=7

x=5252.335