2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Fascinating Exponential Functions.

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Presentation transcript:

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Fascinating Exponential Functions Lethargic Log Functions Egotistical Properties Of Logs Outrageous Exponential & Log Equations Amazing Exponential & Log Models

Evaluate f(x) = 3.4 x When x = 5.6

What is

Graph the function f(x) = 2 x-1

What is

Graph f(x) = 2e x – 2 + 4

What is

Solve the equation for x e 2x – 1 = e 4

WHAT IS 5/2?

Determine the balance for $2500 at a rate of 3% for 20 years Compounded both monthly and continuously.

What is A $ when compounded monthly What is $ compounded continuously?

Write the logarithmic equation in exponential form log 8 4 = 2/3

What is 8 2/3 = 4

Write the exponential equation in logarithmic form e 2 = ….

What is ln ….= 2

Use the properties of logs to simplify the expression 9 log 9 15

What is 15?

Find the domain, x-intercept, vertical or horizontal asymptotes of the logarithmic function and sketch its graph. f(x) = ln(3-x)

What is

Solve for x. log (5x + 3) = log 12

What is x = 9/5?

Rewrite the logarithm as a ratio of common logs and natural logs log 2.6 x

What is log x log 2.6 What is ln x ln 2.6

Evaluate the logarithm using the change of base formula log

What is ?

Find the exact value of the logarithmic expression without using a calculator. log

What is-0.8?

Use the properties of logarithms to expand the expression as a sum, difference, and /or constant multiple of logarithms. Ln 4  x 3 (x 2 -4)

What is 3/4lnx +1/4[ln(x+2) + ln(x-2)] Or ¼[3lnx + ln(x + 2) + ln (x – 2)]

Condense the expression to the logarithm of a single quantity. ½ [log (x + 1) + 2 log (x – 1)] + 6 log x

What is log [x 6 (x – 1)  x + 1 ]

Solve for x ln x = -7

What is e -7 ≈

Solve the exponential equation 6(2 3x – 1 ) – 7 = 9

What is 0.805

Solve for x e 0.125x – 8 = 0

What is ?

Solve the logarithmic equation algebraically. log 4x – log (12 +  x) = 2

What is  75 ≈

The number of endangered animal species in the US from 1990 to 2002 can be modeled by Y = ln t, 10 ≤ t ≤ 22 Where t represent the year, with t = 10 corresponding to During which year did the number of endangered animal species reach 357?

What is t = 18, which makes the year 1998.

How long will it take an initial investment of $600 at a rate of 4.5% to double if compounded quarterly?

What is years?

Determine the rate at which $1000 will double compounded continuously over 3 years.

What is 23.1%?

The number y of hits a new search engine website receives each month can be modeled by y = 4080 e kt where t represents the number of months the website has been operating. In the websites’s third month, there were 10,000 hits. Find the value of k, and use this result to predict the number of hits the website will receive after 24 months.

What is k = which is appox. 5,309,734 hits?

The number N of bacteria in a culture is modeled by N = 100e kt Where t is the time in hours. If N = 300 when t = 5, estimate the time required for the population to double in size.

What is 3.15 hours?

Find the exponential model y = ae bx that fits the points (0, 1) and (3, 10)

What is y = e x