Understanding Logarithms | Exploring the Exponential Relationship with Examples

log(10000)

The expression log(10000) represents the logarithm of 10000

The expression log(10000) represents the logarithm of 10000. In mathematics, logarithm is the inverse operation to exponentiation. It allows you to find the exponent to which a given base must be raised in order to obtain a certain number.

In this case, log(10000) can be written as log base 10 of 10000, which is denoted as log10(10000). So, we aim to find the exponent to which 10 must be raised to get the value of 10000.

To calculate this, you can use the basic property of logarithms:

log base b of x = y if and only if b^y = x.

In our case, the base is 10, and the value we are trying to find the exponent for is 10000. So, we need to find y such that 10^y = 10000.

Using simple exponentiation, we can determine that 10^4 = 10000. Therefore, y in this case is 4.

Therefore, log(10000) or log10(10000) equals 4.

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