Evaluating Logarithms
(No Calculators)
Using Properties of Logs to Condense to a single term
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100

log416

2

100

This can be written as a single logarithm:

logA - (logB + logC)

log(A/(BC))

100

2logx = 0

x = 1

100

5x-4=25x-6

 x = 8

100

What color is Sonic the Hedgehog?

Blue

200

log1,000

3

200

This can be written as a single logarithm:

log3x + log3(4x - 3)


log3(4x2 - 3x)

200

log9(2x - 3) = 3/2

x =15

200

73x+4=492x+1


x = 2

200

What country are you visiting if you are in the Taj Mahal?


India

300

log497

1/2

300

This can be written as a single logarithm:

log7x + 2log7x + 3log7x




log7x6

300


logx + log5 = 2


x = 20

300

42x-5=643x


x = -5/7

300

What does a camel store in its hump?

Fat

400

lne

1

400

This can be written as a single logarithm:

2logA + 3logB - 4logC

log((A^2B^3)/C^4)

400

logx25 = -2

x = 1/5

400

Solve to the nearest tenth:

ln5x=3


x = 4.0

400

The line "To be or not to be" comes from which Shakespeare play?


Hamlet

500

log4(1/64)

-3

500

This can be written as a single logarithm


500

Solve to the nearest tenth:

4x-3 = 41



x = 5.7



500

log2x+log2(x-2)=3

x = 4

500

In the alphabet song, how many letters are between D and V?


17


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