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Logarithms Basics Quiz

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Logarithms Basics Quiz

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Quick class 8 log topics

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Mahnoor
Mahnoor
Pakistan

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Logarithms Basics Quiz
 

Logarithms Basics QuizOnline version

Quick class 8 log topics

by Mahnoor
1

Express log base 10 of 1000 in exponential form.

2

If log_2(8) = x, write in exponential form.

3

Which rule is used for log(xy)=log x + log y?

4

In common logs, what happens to mantissas when multiplying numbers?

5

What happens to mantissas when dividing numbers in logs?

6

What is log_5(625) if 5^4 = 625?

7

Write the exponential form for log_7(343) = x.

8

In log_b(x), what is b?

9

Why is log_b(1) = 0 for any base b?

10

Using mantissas, estimate log10(15) from log10(3) and log10(5).

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Correct form: log_b(x)=y corresponds to b^y=x.

Exponential form converts the log equation to base^exponent = argument.

Product rule: log_b(xy)=log_b x + log_b y.

Mantissas add for multiplication: log(ab)=log a + log b.

For division: log(a/b)=log a - log b.

Exponent equals the log value: 5^4 = 625.

Convert log to exponential: base^x = argument.

Base b defines the logarithm's base.

Only exponent 0 yields 1 for any nonzero base.

Mantissas add: log10(3)+log10(5)=0.4771+0.6990≈1.1761.

 
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