Exponential & Log Jeopardy

Properties of Logarithms

100

If there is no base in a logarithm what does it automatically equal? 

10

200

In a logarithm subtraction goes with what? 

Division

300

In a logarithm adding goes with what? 

Multiplication

400

Where should you move the exponent to? 

log_km^w

the front: wlog_km

500

If you Condense: 2log₃X, where does the 2 move to?

on the exponent of 8.

600

Evaluate. 

64

Logarithmic & Exponential Form

100

what is the equation for logarithmic form?
Given: b^x = a

log_ba=x

200

what is the formula for exponential form?

Given: log_ba=x

b^x=a

300

convert into exponential form: log₃9=2

3²=9

400

convert into logarithmic form:13²=168

log₁₃168=2

500

convert into log form: 8³= 6

log₈6=3

600

Evaluate

UNDEFINED 

A logarithm of a negative number does not exist in set of real numbers. 

Logarithmic Equations

100

what is the first step when solving logarithmic equations? log x + log 5 = 3

Condensing the logarithm

200

If  two logs have the same base then what can you do? 

cross them out and solve like a regular math equations. 

300

At the end when checking your answer what can NOT be in the logarithmic equation?

log ( ?) = 5

A negative

400

Solve: log₉(6-3w)=log₉(-2w)

No Solution

500

Solve: log5 + log20 = x

x= 2

600

log_c (x+2) = log_c (x-1) + log_c (x-2)

x=4

Solving

100

log_x16 = 4

x= 2

200

log5 + log2 = x

x= 1

300

log₃3 = log₃x - log₃3

x= 9

400

2^x+1= 32

x= 4

500

9^x-1= 81^x

x= -1

600

2^x+4 + 8^x =16⁴

x = 4

Log = Log

100

log x = log 5

x =5

200

log₄5x = log₄ (2x + 9)

x = 3

300

log₂3x + log₂3 = log₂63

x = 63

400

log₂(x+2) + log₂5 = log₂20

x = 2

500

log 4x - log 8 = log 31

x = 62

600

log_c (x+2) = log_c (x-1) + log_c (x-2)

x=4