Re-Write Logs
Re-Write Exponentials
Expand Logs
Solving Logs
Properties of Logs
Exponential Growth and Decay
100

5^3 = 125

What is Log base 5 of 125 = 3

100

Log base 3 of 2187 = 7

What is 3^7 = 2187

100
Log3(2x) 

Log3(2) + Log3(x) 

100

Log base 3 of 27= X

What is X = 3

100

Log (5) + Log (10)

What is Log (50)

100

What is the compound interest formula?

A=P(1+r/n)^(nt)

200

4^1 = 4

What is Log base 4 of 4 = 1

200

Log base 5 of 25 = 2

What is 5^2 = 25

200
Log4(64y) 

3 + Log4(y) 

200

Log base 4 of 16 = x

What is x = 2

200

Log (3x) - Log (2)

What is Log (3x/2)

200

What is the half-life decay formula?

N=N_0(1/2)^(t/h)

300

7^X = 343

What is Log base 7 of 343 = X

300

Log base 8 of X = 3.25

What is 8^3.25 = X

300

Log6(5x2y) 

Log6(5) + 2Log6(x) + Log6(y) 

300

Log base X of 1 = 3.5

What is x = 3.5

300

Log (6) + Log (3x)

What is Log (18x)

300

$100 is invested at 7.2% interest compounded annually.  Determine how much the investment is worth after 5 years.

$141.57

400

X ^ 5 = 243

What is Log base X of 243 = 5

400

Log base X of 9 = -0.6

What is X^-0.6 = 9

400

Log3(5x2/y3

Log3(5) + 2Log3(x) - 3Log3(y) 

400

Log base 8 of 16 = X

What is x = 4/3

400

2 Log (3) + 5 log (y) - log (x) 

What is Log (9y^5/x) 

400

The radioactive gas radon has a half-life of approximately 3.5 days.  About how much of a 100g sample will remain after 1 week?

25 grams

500

M^P = Q

What is Log base M of Q = P

500

Log base A of B = C

What is A^C = B

500

Log(100x2y)1/2

1 + Log(x) + 1/2 Log(y) 

500

Log base X of (1/625) = -4

What is x = 5

500

4 Log (J) - (Log (E) + 2 Log (H)) 

What is Log (J^4/E*H^2)