Chapter 5 Jeopardy

Properties of Logarithms

100

What are the 4 properties of Logs

(Writen on board) 

2 Minutes

Log(X/Y) = LOG LogX - LogY

Log(XY) = LogX + LogY

Log(X)^y = YLogX

Log_b(X) = Log_aX/Log_aB 

200

simplify:

5ln(x) - 6ln(y)

ln(x⁵)/ ln(y⁶)

300

Solve 

Log₅X = -2

3 Minutes

1/25

400

Simplify:

8^Log₈⁽¹⁴⁾

2 minutes

14

500

Solve:

Log₄₂(8)

Round to 3 Decimals

.556

Log Equations

100

Solve:

ln(8x) = 6.9

e^6.9

^------

8

200

Solve

ln(x) + ln(x²) = 12

e⁴

300

Log₁₀(x) + log₁₀(x-21) = 2

X = 25

400

ln(3x+16) - lnx = ln4

16

500

log₃(x+4)+ Log₃(x-4) = 2

X = 5

Exponential Functions

100

2^X-3 = 512

x=12

200

Solve:

256^3x = 64^(x+1)

x= 1/3

300

Solve 5^x-4 = 1

4

400

Solve:

Root(3)^(x+5) = 9^x

x = 5/3

500

Solve(1/49) ^(6-x) = 7^(3x+3)

x= -15