Introduction to Logarithms

IMPORTANT

Important Questions on Introduction to Logarithms

EASY
IMPORTANT

Does log100 exist?

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IMPORTANT

You know that 21=2, 41=4, 81=8 and 101=10. What do you notice about the values of log22, log44, log88 and log1010? What can you generalise from this?

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Evaluate log27.5 in terms of x and y, if it is given x=log23 and y=log25.

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Evaluate log215 in terms of x and y, if it is given x=log23 and y=log25.

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Write the expression as log N and find the value:

log 10 +2 log 3 - log 2

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Write the expression as log N and find the value:

2 log 3 - 3 log 2

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IMPORTANT

Write the expression as log N and find the value:

3log644

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IMPORTANT

Write the expression as log N and find the value:

log216 -log22

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Write the expression as log N and find the value:

log 2 +log 5

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IMPORTANT

Determine the value of the following.

22+log23

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IMPORTANT

Determine the value of the following.

log23(827)

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Determine the value of the following.

log100.01

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Determine the value of the following.

log2512

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Determine the value of the following.

logxx

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Determine the value of the following.

log71

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Determine the value of the following.

log2116

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Determine the value of the following.

log813

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Determine the value of the following.

log255

MEDIUM
IMPORTANT

We know that, if 7=2x then x=log27. Then what is the value of 2log27? Justify your answer. Generalised the above by taking some more examples for alogaN.​

EASY
IMPORTANT

Find the value of log23827.