Exp & 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 too? 

log_km^w

the front: wlog_km

500

Condense: 2log₃8=

log₃8²=log₃64

600

Evaluate. 

64

Logarithmic & Exponential Form

100

what is the equation for logarithmic form? 

log_ba=x

200

what is the formula for exponential form?

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 existnin set of real numbers. 

Logarithmic Equations

100

what is the first step when solving logarithmic equations? 

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?

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

Factoring

100

log₃3 = log₃x - log₃3

x= 9

200

log5 + log2 = x

x= 1

300

log_x16 = 4

x= 2

400

x = log₈4

x= 2/3

x= 0.6

500

2^x+1= 32

x= 4

600

9^x-1= 81^x

x= -1