Logarithmic Functions and Properties

The base of the natural log,
\ln x is:

• 10

• e

• 5

• 100

Convert the exponential expression into an equivalent logarithmic expression:

Convert the exponential expression into an equivalent logarithmic expression:

Convert the exponential expression into an equivalent logarithmic expression:

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

Mathematical Equivalence

ON

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Convert the logarithmic expression into an exponential expression:

Use properties of the logarithms to match the expressions: If log(x) = log(y), then x=y

• Equality Rule

• Product Rule

• Quotient Rule

• Power Rule