Expanding Logarithms - Concept

Concept Concept (1)

Sometimes we use methods for expanding logarithms in complicated logarithmic terms. Expanding logarithms can be useful for obtaining more simplified terms. When expanding logarithms we use the rules of logarithms, including the power rule, the product rule and the quotient rule. Sometimes we use methods for expanding logarithms when evaluating logarithmic equations.

Sample Sample Problems (6)

Need help with "Expanding Logarithms" problems? Watch expert teachers solve similar problems to develop your skills.

Expanding Logarithms - Problem 1

Expand:

log5 25x²
z
Problem 1
How to use the laws of logarithms to expand a log of a quotient.
Expanding Logarithms - Problem 2

Expand:

log9 (ab)³
9(c + d)
Problem 2
How to use the laws of logarithms to expand a log of a complicated quotient.
Expanding Logarithms - Problem 3

Expand:

log4( 64 )⁻³
x⁴ ⋅ y²
Problem 3
How to use the laws of logarithms to expand a log of negative powers of a complicated quotient.
Expanding Logarithms - Problem 4
Problem 4
How to expand logarithmic expressions using products and powers with focus on using the power rule.
Expanding Logarithms - Problem 5
Problem 5
How to expand logs using the quotients to sums and differences.
Expanding Logarithms - Problem 6
Problem 6
Connecting fractional roots and radical expressions with expanding logarithmic expressions.