Properties of Logarithms

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

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

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

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Rewrite as a single log:
4 log g - 2 log h

• log (4g/2h)

• log (g⁴/h²)

• log (g⁴ - h²)

• log (2gh)

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

log₂6+log₂3=

• log₂18

• log₂2 = 1

• log₂3

• log₂9