Log and Exponential Forms

Solving logs

100

solve:

log₂ 256=

8

200

solve.

log₄1024=

5

300

solve.

log₂₀400=

2

400

solve.

log₆ 1/216

-3

500

solve.

log₃₄₃ 7=

1/3

Solving ln

100

solve.

ln15=

2.7080

200

solve.

ln 294=

5.6835

300

solve.

ln 14.23=

2.6553

400

solve.

ln 51.2 =

3.9357

500

solve.

ln 12/92=

-2.0368

L to E form

100

Write the log form to exponential form.

log1000=3

10³=1000

200

Write the log form to exponential form.

log₆ 36 = 2

6²=36

300

Write the log form to exponential form.

log₂v=u

2^u=v

400

Write the log form to exponential form.

log_7/4x = y

(7/4)^y=x

500

Write the log form to exponential form.

log_u 15/16 = v

u^v=15/16

E to L form

100

Write the exponential form to log form.

12² =144 

log₁₂144=2

200

Write the exponential form to log form.

9^-2=1/81

log₉1/81=-2

300

Write the exponential form to log form.

8^b=a

log₈ a = b

400

Write the exponential form to log form.

(1/5)^x= y

log_1/5 y = x

500

Write the exponential form to log form.

b^a= 123

log_b123=a

Random

100

A log will always have a base of _____ unless said otherwise.

10

200

The answer to a log will always be an _______.

exponent

300

What is the log equation formula?

log(b) a = e

400

What is the natural log equation formula?

ln a=p

500

What is the base of a natural log?

e