Mid-Lesson Practice Page A KEY Translate between exponential and logarithmic equations. Exponential Logarithmic 54 = 625
1.
-1
Exponential
Logarithmic
5
log5 (625) = 4
4.
8 3 = 32
log8 (32) =
5 3
2.
9
1 3
log9 ( 31 ) = - 21
5.
10-2 = 0.01
log(0.01) = -2
3.
PK = R
logP (R ) = K
6.
MW = Z
logM (Z ) = W
2
=
Rewrite each logarithmic equation in exponential form. Then solve for x. 8. log x = -2 log8 x = 3 7. 83= x 512 = x
10.
log6 216 = x
9.
10 -2 = x 1 0.01 or =x 100
logx 4 =
11.
1 3
1 log9 ( 81 )=x
9 x = 811 -2 = x
12.
logx 5.0625 = 4
1
x
6 = 216 3=x
x3 = 4
(x ) 1 3
3
= 43
x = 64
x 4 = 5.0625 1
x = (5.0625) 4 x = 1.5
Graph the following logarithmic equation by: 1) rewriting it as an exponential sentence; 2) using the re-written equation to complete the table; 3) and plotting the points and connecting them with a smooth curve. 13. Function Rewrite y = 2 + log3 ( x - 1) ® y - 2 = log3(x-1) (Add -2 to both sides, then rewrite, then add 1 to both sides)
Mid-Lesson Practice Page A KEY 14. log x + log9 ³ log54 Solve the inequality using a graphing calculator. Sketch the graph.
15. log x + log( x + 21) < 2 Solve the inequality using a graphing calculator. Sketch the graph.
Solution: x ³ 6 Verify using the table.
Solution: 0 < x < 4 Verify using the table.
6
16. y = 2log ( x - 4 ) + 3
0
4
17. y = -3 log(x+2) The function below is a transformation of y = log(x). a. What kind of reflection occurred? Over the x axis b. Identify any vertical shift. Down 3 c. Identify any horizontal shift. Left 2 d. In the space above, write the equation that represents the function.
The function above is a transformation of the graph of y = log(x) (which is shown dotted). a. Identify any vertical shift. Up 3 b. Identify any horizontal shift. Right 4 c. Identify any vertical stretch or compression and by what factor. Stretch factor of 2 d. Sketch the graph of the given function on the same axes as = .
Mid-Lesson Practice Page A Translate between exponential and logarithmic equations. Exponential Logarithmic
Exponential
54 = 625
1.
-1
Logarithmic
log8 (32) =
4.
5 3
2.
9
1 3
5.
log(0.01) = -2
3.
PK = R
6.
logM (Z ) = W
2
=
Rewrite each logarithmic equation in exponential form. Then solve for x. 8. log x = -2 log8 x = 3 7.
10.
log6 216 = x
11.
logx 4 =
1 3
9.
12.
1 log9 ( 81 )=x
logx 5.0625 = 4
Graph the following logarithmic equation by: 1) rewriting it as an exponential sentence; 2) using the re-written equation to complete the table; 3) and plotting the points and connecting them with a smooth curve. 13. Function Rewrite y = 2 + log3 ( x - 1) ® (Add -2 to both sides, then rewrite, then add 1 to both sides) Table x
Mid-Lesson Practice Page A 14. log x + log9 ³ log54 Solve the inequality using a graphing calculator. Sketch the graph:
15. log x + log( x + 21) < 2 Solve the inequality using a graphing calculator. Sketch the graph:
Solution:
Solution:
16. y = 2log ( x - 4 ) + 3
17. y = ______________________ The function above is a transformation of the The function below is a transformation of y = graph of y = log(x) (which is shown dotted). log(x). a. Identify any vertical shift. a. What kind of reflection occurred? b. Identify any horizontal shift. b. Identify any vertical shift. c. Identify any vertical stretch or compression c. Identify any horizontal shift. d. In the space above, write the equation that and by what factor. d. Sketch the graph of the given function on represents the function. the same axes as = .
Graph the following logarithmic equation by: 1) rewriting it as an exponential sentence; 2) using the. re-written equation to complete the table; 3) and plotting the ...
strategy which is uniquely aligned with the Zambian. economic and regulatory environment. We have a strong. and experienced management team to lead further. development of the business. The Bank remains highly. profitable with a strong balance sheet
Polynomials-Graphs and Factors Day3 WS and Key .pdf. Polynomials-Graphs and Factors Day3 WS and Key .pdf. Open. Extract. Open with. Sign In. Main menu.
Page 1 of 1. 4.2 Trigonometric Functions and the Unit Circle.Worksheet . Name Peribd:-Time to Complete. 'r1nd the exact value of the trigonometric function.
rocks. 19.3 Typical Responses of an Electrical Tool. Figure 19.1 shows the typical response of an electrical tool in a sand/shale sequence. Note the lower resistivity in shales, which is due to the presence of bound water in clays that undergo surfac
All round robin group matches are played over Best of 5 frames. Page 1 of 1. group-efgh-results-day3.pdf. group-efgh-results-day3.pdf. Open. Extract. Open with.
There was a problem previewing this document. Retrying... Download. Connect more apps... Try one of the apps below to open or edit this item. Intro Logs Base ...
A video game store has 60 games to choose from, including 40 sports games. What is the ratio of sports games to video games? 4. The ratio of the measures of the three sides of a triangle is 9:7:5. Its perimeter is 1991.5 inches. Find the measure of e
Nov 29, 2011 - with Internet access has changed the way to access the In- ternet content ... the whole list to look for the relevant image using network- ing transfer. ..... chose the top fastest rising and top falling queries from 2010 provided by .
another sample or more pressure data is required from further depths, the pre-test chambers are emptied and the .... where the fluid is in good connection throughout the interval, we can calculate the pressure gradient in ... (7.1), and by fitting th
choose one or I will assign you a stream toward the beginning of the semester. I'd like you to. find out where it flows, what flows into it, whose lives it touches and how, where it is covered. and hidden, what lives in it and near it, and spend some
... M phosphorous acid solution. a. What is the [H+]?. b. What is the [OH-]?. c. What is the pH? d. What is the pOH? Page 2 of 2. pH and pOH WS Honors 2016.pdf.
