Basics of Logarithms

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What is a logarithm?

A logarithm is the power to which a number must be raised to get another number.

How do you express log base b of x equals y in exponential form?

b^y = x

What is the logarithm of 1 to any base?

0

What does it mean when the logarithm of a number is negative?

It means the original number is a fraction between 0 and 1.

What is the common logarithm?

The common logarithm is the logarithm with base 10.

What is the natural logarithm?

The natural logarithm is the logarithm with base e (approximately 2.718).

What base is used in binary logarithms?

Base 2

How do you calculate log base 10 of 1000?

3

What's the logarithm base 2 of 8?

3

Is the logarithm function invertible?

Yes

What is the change of base formula?

log base b of x = log base k of x / log base k of b

Can the base of a logarithm be 1?

No, the base of a logarithm cannot be 1.

What is a common use of logarithms in real life?

Logarithms are used in measuring the Richter scale for earthquakes.

What is the logarithmic identity involving multiplication?

log base b of (xy) = log base b of x + log base b of y

What is an example of a logarithmic graph?

The graph of y = log(x) shows a logarithmic pattern.

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