# How do you condense a logarithmic expression?

**Condense logarithmic expressions**

- Apply the power property first. Identify terms that are products of factors and a
**logarithm**, and rewrite each as the**logarithm**of a power. - Next apply the product property. Rewrite sums of
**logarithms**as the**logarithm**of a product. - Apply the quotient property last.

Also, what does it mean to condense a logarithmic expression?

When they tell you to "simplify" a **log expression**, this usually **means** they will have given you lots of **log** terms, each containing a simple argument, and they want you to combine everything into one **log** with a complicated argument. "Simplifying" in this context usually **means** the opposite of "expanding".

Also Know, what is LN equal to? The natural logarithm of a number is its logarithm to the base of the mathematical constant e, where e is an irrational and transcendental number approximately **equal to** 2.718281828459. The natural logarithm of x is generally written as **ln** x, log_{e} x, or sometimes, if the base e is implicit, simply log x.

Besides, 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**.

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.