In this article, I am going to tell you what logarithm is, how you can solve this math, and other basic questions.

## What is a logarithm?

In mathematics, A logarithm is a mathematical activity that decides how often a specific number, called the base, is increased without help from anyone else to arrive at another number. Because geometric progressions to arithmetic progressions relate to logarithms. In the 17th century, Logarithms were invented as a calculation tool by Scottish mathematician John Napier (1550 to 1617). who begat the term from the Greek words for ratio (logos) and number (arithmos). Before the creation of mechanical (and later electronic) calculators, logarithms were critical for working on calculations found in stargazing, route, studying, and later engineering.

## What does log X mean?

The logarithm of a positive genuine number x as for base b is the type by which b should be raised to yield x. All in all, the logarithm of x to base b is the arrangement y to the equation.

Now,

How can you solve log(x) = -0.123 ?

At first, you will need to know the formula, which is given below.

logbn = a

b^{a} = n

b= base

a=exponent

As there is no given value of base , so you have to assume the value of base is 10 .

log(x) = -0.123

log10(x) = -0.123

x = 10^{-0.123}

x=0.7534 (answer)

So, if log(x)=−0.123, what does x equal?

Answer is x=0.7534.