Properties of Logarithms

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

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

Mathematical Equivalence

ON

Match the equivalent expressions below using properties of logarithms.

Mathematical Equivalence

ON

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

Mathematical Equivalence

ON

Use the Properties of Logarithms to match the following logarithmic expressions.

Use the Properties of Logarithms to match the following logarithmic expressions.

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)