Log Properties/Change of Base

Write as a single log: 6logx-3logy

• log (xy³)

• log (x⁶ − y³)

• log (x⁶/y³)

• log (x⁶ + y³)

Expand the log: log_b(x/y)

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Expand the log: log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Expand the log: log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Expand the log: log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4