Warm up Problems At higher elevations, water takes longer to boil. Let f (h) be the boiling point, in ºC, at altitude h meters above sea level. Using correct units, explain the meaning of

Logarithms Laws of Logarithms

Ex. Express as a single logarithm

Pract. Simplify

Ex. Solve

Ex. The half-life of a substance is 12 days. If there are 10.32g initially, write an equation that represents the amount, A, of the substance after t days. When will there be 1g left?

Note: Logarithmic functions are always dominated by increasing power functions.

n to the n FEPLL n Factorial Exponent Polynomial Linear Logarithm grows faster grows slower

Ex. Define a) Is g increasing or decreasing? b) Explain why g is invertible and find g -1.