Topic 2b AP Precalculus AB Exponential and Logarithmic Graphs

Expand log (ab)

• log a x log b

• log a + log b

• log a - log b

• a log b

• log a - log b

• log_a b

• log_b a

• log x² + log y³

• 2 log x - 3 log y

• log x - log y

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

When a logarithm has division inside of it, it expands using ________________.

• Addition

• Subtraction

• Multiplication

• Division

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98

• log 78

• log 56

• log 45