The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and logarithm of y. …

Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding.

Nov 6, 2024 · The power rule of logarithms says that the log of a number raised to an exponent is equal to the product of the exponent value and the logarithm of the base value.

The power rule of logs says that if the argument of a logarithm has an exponent, then the exponent can be brought to in front of the logarithm. i.e., log b m n = n log b m.

Jul 23, 2025 · According to the power rule, the logarithm of a number raised to an exponent equals the exponent multiplied by the logarithm of the base. Formula: loga(Xn) = n × logaX. Example: log5(92) …

Discover the log rules, explore each one of them in detail, and learn some tips on how to apply the logarithm rules easily.

May 24, 2024 · What are the logarithmic identities in mathematics. Also, learn the natural logarithm rules with examples.

If there is a coefficient in front of a logarithm, the power law of logarithms states that the input to the logarithm can be raised to the power of this coefficient.

By doing so, we have derived the power rule for logarithms which says that the log of a power is equal to the exponent times the log of the base. Keep in mind that, although the input to a logarithm may not …

In this lesson, we will prove three logarithm properties: the product rule, the quotient rule, and the power rule. Before we begin, let's recall a useful fact that will help us along the way.