MHS Log & Exponential Functions Graphing Question

Description

Hello, please answer all the questions down below (attatched as pdf files). Just some guidelines:1. Please ask if you need clarification2. Please please explain each answer (for the word problems) thoroughly including all your steps (just select the right answer for multiple choice)

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2. Evaluate: *
0.1
5
10
13
3. Evaluate: *
-4
-6
-8
no solution
4. An acid has a hydrogen ion concentration of 0.00898 mol/L. What is the pH of this
acid? *
2
3
4
5
5. Solve for x: *
2
-2
1/2
-1/2
6. Solve for x: *
1/2
2
-2/3
-1/2
Option 5
7. Simplify as a single log: *
Option 1
Option 2
Option 3
Option 4
8. Simplify: *
Option 1
Option 2
Option 3
Option 4
9. Evaluate: *
1/4
1/2
1/8
-2
10. What is the equation of the vertical asymptote of the function f(x) = -20log (-2x-8)? *
x=4
x=-4
x=8
x=-8
11. Simplify as a single log: *
Option 1
Option 2
Option 3
There are no false statements.
12. Solve for x: *
Option 1
Option 2
Option 3
Option 4
13. Given the following graph of a log function, which of the following equations would
have the same end behaviours? *
f(x) = 3 log (2x) -3
f(x) = -5 log [-2(x+1)] +3
f(x) = -5 log [2(x+1)] – 2
f(x) = 4 log [-2(x+3)] +1
14. Simplify: *
Option 1
Option 2
Option 3
Option 4: no solutions
15. Write as a sum or difference of logs: *
Option 1
Option 2
Option 3
Option 4
16. Solve for x: *
256
16
-16
both -16 and 16
both -256 and 256
17. Solve for x: *
14
-14
2/3
no solutions
Application
2 3
1) Write as a single log: 6log 𝑥 𝑦 – 3log xy + 4log
2).
3
9 6
𝑥𝑦
Graph 𝑦 =− 2𝑙𝑜𝑔3(− 3𝑥 + 3) + 4 and state the domain and the equation of the vertical asymptote. The
graph must include 4 accurate points in total.
Domain: _________________________
Equation of Asymptote: ___________
3)
An earthquake in Panama measured 8.4 on the Richter Scale and is 4567 times more intense than an earthquake
in Thailand. What is the Richter scale of the earthquake in Thailand?
4)
Solve for x:
Thinking
5)
log(5x-2) = 2 + log (x-2)
(
2
)
(
3
2
)
6) Simplify and state restrictions: 𝑙𝑜𝑔3 − 𝑥 + 𝑥 + 6 − 𝑙𝑜𝑔3 3𝑥 − 𝑥 − 4𝑥
7)
Determine the values of a, b, and c if:
2
{
𝑦 = 𝑙𝑜𝑔⁡(𝑐𝑥 + 𝑎𝑥 + 𝑏) has the domain: 𝑥 < −1 5 } , 𝑥 > 2, 𝑥∈𝑅

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Tags:
hydrogen ion concentration

equation of the vertical asymptote

graph of a log function

Equation of Asymptote

Richter scale of the earthquake

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