Exponential to Log
Log to Exponential
Properties
of Logarithms
Solving
Equations
All About
Logarithms
100

2^3 = 8

log_2(8)=3

100

log_4(16)=2

4^2=16

100

Condense the logarithm.

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

log(4x^2y)

100

log5+logx=1

2

100
The understood base of log.
What is 10?
200

10^4 = 10,000

log_10(10,000)=4

OR

log(10,000)=4 

200

log(100,000) = 5

10^5 = 100,000

200

Expand the logarithmic

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

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

200

8^(x-3) = 64

5

200

The inverse of Logarithmic.

What is Exponential?

300

5^-2 = 1/25

log_5(1/25)=-2

300

log_32 y = 85

32^85=y

300

Expand the logarithmic

log_7 ( x^2y^4)

2log_7(x)+4log_7(y)

300

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

1

300

Identify the base in the following:

243

What is 24?

400

(1/6)^-3 = 216

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

400

log_x(128)= 7

x^7 = 128

400

Condense the logarithm:

3log(x)+5log(y^2)

log(x^3)+log(y^10)

400

DAILY DOUBLE!

3log(x)+2log(x)=log(16807)

7

400

Identify what would be the base in the following:

log39=2

What is 3?

500

x^7 = 128

log_x(128)= 7

500

log_z x=y

z^y=x

500

DAILY DOUBLE! Condense the logarithm:

log_3(x)-2log_5(y)+5log_3(y^3)-3log_5(1/x^3)

log_3(xy^15)-log_5(x^9y^2)

500

2log(x^2)-log(x)=log(729,000)

90

500

DAILY DOUBLE!

He discovered logarithms.

Who is John Napier?

M
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