Solve Exponentials and Logs

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

log₅25 = ?

• 2

• 5

• 125

• 10

Expand: log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by