Mathematical operations to manipulate exponents.

How do logarithms work?

By converting exponential functions into simpler forms.

What is Peteleco's rule in logarithms?

Involves multiplying the exponent above the logarithm.

By transforming numbers to the same base and applying properties.

Logarithms have specific properties: the log of a number in the same base is always one, Peteleco's rule involves multiplying the exponent, and the log of 1 in any base is zero.
Understanding logarithms requires transforming numbers to the same base, where the exponent moves down, leading to division instead of multiplication, showcasing practical applications of logarithmic properties.

What are logarithms?
Mathematical operations to manipulate exponents.
How do logarithms work?
By converting exponential functions into simpler forms.
What is the log of 1 in any base?
Zero.
What is Peteleco's rule in logarithms?
Involves multiplying the exponent above the logarithm.
How can logarithms be applied practically?
By transforming numbers to the same base and applying properties.

00:00

Sandro Corió explains logarithms, focusing on properties and practical examples for understanding.
The first property is that the log of a number in the same base is always one.
Sandro introduces Peteleco's rule, which involves multiplying the exponent above the logarithm.
Practical example: Solving log of 8 in base 2 by transforming the numbers to the same base.
The third property involves the exponent moving down, leading to division instead of multiplication.
Another practical example: Solving log of 2 in base 8 by transforming the numbers to the same base.
The fourth property states that the log of 1 in any base is zero.
Practical example: Solving log of 16 in base 8 by transforming the numbers to the same base and applying properties.