Hamis kiggundu properties of logarithms

FAQs on Properties of Log

What are 4 Logarithmic Properties?

The logarithmic properties are used to compress/expand logarithms. There are 4 important logarithmic properties:

• log xy = log x + log y
• log x/y = log x - log y
• log a^m = m log a
• log_ba = (log a)/(log b)

What are the Applications of Properties of Log?

We can use the properties of log in simplifying the logarithmic functions and expand/compress the logarithms.

For example, using the property log (mn) = log m + log n we can write

• either log 6 as log 2 + log 3
• or log 2 + log 3 as log 6

What is a Number Raised to Log Property?

The result of a number raised to a logarithm of the same base is equal to the argument of the logarithm i.e., a^{logₐ x} = x.

What is Negative Log Property?

We can use the power property of logarithms to convert a negative log into a positive log.

For example:

-log_b a = log_b a^-1 = log_b (1/a)

We can apply the change of base rule and power property toget