# What is logarithmic equations and inequalities?

**logarithmic equation**or

**inequality**can be solved for all x values that satisfy the

**equation**or

**inequality**. (Lesson 21). A

**logarithmic**function expresses a relationship between two variables (such as x and y), and can be represented by a table of values or a graph (Lesson 22).

Then, what is logarithmic inequality?

**Logarithmic inequalities** are **inequalities** in which one (or both) sides involve a **logarithm**. Like exponential **inequalities**, they are useful in analyzing situations involving repeated multiplication, such as in the cases of interest and exponential decay.

Likewise, what is 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.

Accordingly, what is logarithmic function example?

A **logarithm** is an exponent. The exponential **function** is written as: f(x) = bx. The **logarithmic function** is written as: f(x) = log base b of x. The common log uses the base 10. The natural log uses the base e, which is an irrational number, e = 2.71828.

What is the property of log?

Recall that we use the product rule of exponents to combine the product of exponents by adding: xaxb=xa+b x a x b = x a + b . We have a similar **property** for **logarithms**, called the product rule for **logarithms**, which says that the logarithm of a product is equal to a sum of **logarithms**.