Logs and Exponential Review

The growth in population of a city fits the exponential function P(t)= 7200e^.04t, where t is the time number of years since 1900.  What was the initial population?

________ people

ENTER NUMBER ONLY

The growth in population of a city fits the exponential function P(t)= 7200e^.04t, where t is the time number of years since 1900.  Estimate the population in 1960.

Round to the nearest whole number.

______ people

ENTER NUMBER ONLY

log₆17=

Round to 3 decimal places

The half life of an element is 6 years.  If a sample has 2000 grams at the beginning, how much will remain in 14 years?

Round to 3 decimal places.

_______ grams

ENTER NUMBER ONLY

The 2000 population of Orcutt, California was 400,000 and was increasing at the rate of 1.5% each year. At that rate, in how many years will the population be 500,000? Don't forget your units when you answer. Round to 3 decimal places.

 $9^{\log_9Q}$  

 $\log_4x=3$  

x=

• 12

• 64

• 4

• 3

2logx + logy - 3logz=