# What does expand each logarithm mean?

Asked By: Aurita Liebchen | Last Updated: 1st May, 2020

Category:
science
physics

Learn how to

**expand logarithms**using product/quotient rule. And when given a**logarithm**expression involving the**logarithm**of a number raised to a certain exponent, the**logarithm can**be**expanded**by multiplying the exponent to the**logarithm**of the number without the exponent.Moreover, what does it mean to expand a logarithm?

Since this radical **is** a square root that **means** the power **is** just ½. Just think of it as the power or exponent of ½. So this problem **is** reduced to **expanding a log** expression with a power of ½. This **is** where the Power Rule brings down that exponent ½ to the left of the **log**, and then you **expand** the rest as usual.

Also Know, how do you undo a log? **Steps to Find the Inverse of a Logarithm**

- STEP 1: Replace the function notation f (x) by y.
- f (x) → y.
- STEP 2: Switch the roles of x and y.
- STEP 3: Isolate the log expression on one side (left or right) of the equation.
- STEP 4: Convert or transform the log equation into its equivalent exponential equation.

Also to know, what are the log rules?

Logarithm rules

Rule name | Rule |
---|---|

Logarithm product rule | log_{b}(x ∙ y) = log_{b}(x) + log_{b}(y) |

Logarithm quotient rule | log_{b}(x / y) = log_{b}(x) - log_{b}(y) |

Logarithm power rule | log_{b}(x ^{y}) = y ∙ log_{b}(x) |

Logarithm base switch rule | log_{b}(c) = 1 / log_{c}(b) |

What does Ln mean?

natural logarithm