Solving Logs Lns and Exponential Solving

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Rewrite in exponential form: 
2=log₉x

• 9^x=2

• 2^x=9

• 2⁹=x

• 9²=x

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Evaluate log₅  20 to the third decimal place

• 0.537

• 2.996

• 1.301

• 1.861

e^ln(f)

• f

• e

• e^f

• undefined

• True, subtraction between two logarithms is division in condensed form.

• True, a logarithm is an exponent. When dividing like bases you subtract exponents therefor dividing logarithms as in this example.

• False, subtraction between two logarithms is division within a single logarithm in condensed form.