# What is a logarithmic expression?

**logarithm**is an exponent. for b > 0, b≠ 1,

**log**

_{b}x = y if and only if b

^{y}= x. The

**log**b

^{x}is read "

**log**base b of x". The

**logarithm**y is the exponent to which b must be raised to get x.

**Logarithms**with base 10 are called common

**logarithms**.

Keeping this in view, what is a logarithmic equation?

A **logarithmic equation** is an **equation** that involves the **logarithm** of an expression containing a variable. To solve exponential **equations**, first see whether you can write both sides of the **equation** as powers of the same number.

Subsequently, question is, what is logarithmic function with example? **Logarithm**, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the **logarithm** of n to the base b if b^{x} = n, in which case one writes x = log_{b} n. For **example**, 2^{3} = 8; therefore, 3 is the **logarithm** of 8 to base 2, or 3 = log_{2} 8.

Likewise, people ask, what is Ln in logarithmic expression?

Usually **log**(x) means the base 10 **logarithm**; it can, also be written as **log**10(x) . **log**10(x) tells you what power you must raise 10 to obtain the number x. 10x is its inverse. **ln**(x) means the base e **logarithm**; it can, also be written as **log**e(x) . **ln**(x) tells you what power you must raise e to obtain the number x.

What does log2 mean?

Description. **log2**(x) represents the logarithm of x to the base 2. Mathematically, **log2**(x) is equivalent to log(2, x) . See Example 1. The logarithm to the base 2 is defined for all complex arguments x ≠ 0.