Logarithmic Rules

log (2 * 3) = ?

• log 2 + log 3

• log 2 * log 3

• log 2 - log 3

• log 5

log (2 / 3) = ?

• log 2 + log 3

• log 2 / log 3

• log 2 - log 3

• 2/3 * log 1

log (3²) =?

• log 6

• 2 log 3

• log₂ 3

• log₃ 2

log (a * b) = ?

• log a * log b

• log a + log b

• log a - log b

• a*log b

log (a / b) = ?

• log a - log b

• log a / log b

• log_a b

• log_b a

log (a² * b) = ?

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

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 in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t