Logarithmic and Exponential

Exponential to Log

100

2^3 = 8

log_2(8)=3

200

3^4 = 81

log_3(81)=4

300

5^-2 = 1/25

log_5(1/25)=-2

400

(1/6)^-3 = 216

log_(1/6) ( 216)=-3

500

x^7 = 128

log_x(128)= 7

Log to Exponential

100

log_4(16)=2

4^2=16

200

log_8 64 = 2

8^2 = 64

300

log_32 y = 85

32^85=y

400

log_x(128)= 7

x^7 = 128

500

log_9 x=y

9^y=x

Properties of Logarithms

100

Condense the logarithm.

log(x^2)+ log(4y)

log(4x^2y)

200

Condense the logarithm.

3log(x) + 5log(y^2) 

log(x^3y^10)

300

Condense the logarithm.

log(3) - log(x) - 3log(y)

log((3)/(xy^3))

400

Expand the logarithmic

log_7 ( x^2y^4)

log₇(x²)+log₇(y⁴)

500

Expand the logarithmic

log((3*x^4)/y)

log(3)+4log(x)-log(y)

Solving Equations

100

log5+logx=1

2

200

8^(x-3) = 64

5

300

log_5(2x-8) = log_5(4x-10)

1

400

16^(2x-1)=32^(2x)

-2

500

19^(8x) +3 = 19

.118

All AboutLogarithms

100

The understood base of log.

What is 10?

200

The inverse of Logarithmic.

What is Exponential?

300

Identify the base in the following:

24³

What is 24?

400

Identify what would be the base in the following:

log₃9=2

What is 3?

500

DAILY DOUBLE

He discovered logarithms.

Who is John Napier?