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The first of an infinite series of solutions is:

log10(-2.4969)=ln(-2.4969)/ln(10)=ln(2.4969)/ln(10) +PI*i/ln(10)

= .397 + 1.364*i

There are an infinite number of additional solutions of the form:

.397 + 1.364*i +2*PI*k/ln(10) where k is any integer greater than 0.

I got this number by using the change of base identity and a common, complex log identity, neither of which I'm deriving. If you haven't been taught it yet, i = sqrt(-1).

Q: What is the common logarithm of -2.4969?

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The value of the common logarithm is undefined at 0.

Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.

Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.

Zero, in logs to base 10, base e, or any base.

Common

Related questions

The natural logarithm is the logarithm having base e, whereThe common logarithm is the logarithm to base 10.You can probably find both definitions in wikipedia.

The value of the common logarithm is undefined at 0.

The common logarithm (base 10) of 2346 is 3.37. The natural logarithm (base e) is 7.76.

A logarithm is the exponent to which a number called a base is raised to become a different specific number. A common logarithm uses 10 as the base and a natural logarithm uses the number e (approximately 2.71828) as the base.

part of a common logarithm

Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.

Saying that "X is the common logarithm of N" means that 10 raised to the power of X is N, or 10X = N. For instance, the common logarithm of 100 is 2, of 1000 is 3, and of 25 is about 1.398.

Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.

The natural logarithm is the logarithm having base e, whereThe common logarithm is the logarithm to base 10.It really depends on the question!Maybe you should check out the examples!++++The common, or Base-10, logarithm will cover any multiplication, division and power arithmetic in the ordinary numbers, which are to base-10. It is also the base for the logarithmic ratio defining the decibel scale used in acoustics and electrical signals analysis.'The natural logarithm (base-e) underlies a large number of specific scientific laws and purposes, such as the expansion of gas in a cylinder.

Zero, in logs to base 10, base e, or any base.

Common

The actual calculations to get a logarithm are quite complicated; in most cases you are better off if you look the logarithm up in tables, or use a scientific calculator.