Question: (a) Given that x = 3 and y = 99, show that log3 x3 + log; y = 3p + 2q. (b) Solve the equation

(a) Given that x = 3" and y = 99, show

(a) Given that x = 3" and y = 99, show that log3 x3 + log; y = 3p + 2q. (b) Solve the equation logx(x + 12) = 2 and explain why only one value of x satisfies the equation. [3 marks]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

(a) Given that x = 3" and y = 99, show that log3 x3 + log; y = 3p + 2q. (b) Solve the equation logx(x + 12) = 2 and explain why only one value of x satisfies the equation. [3 marks]

Same activity. First pic for clearer equations Directions: Solve each logarithmic equation in Column I and then write the letter in Column II that corresponds to your answer on the blank before each...

Can someone please help with all of these? I don't have the time to do them all Find the value of y. (1) log5 25 = y (2) log3 1 = y (3) log16 4 = y (4) log218= y (5) log5 1 = y (6) log2 8 = y (7)...

1. f(x) =-x3+ 4x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. The graph will b) Find the x-intercepts by setting f(x) =0, factoring, and solving the resulting equation...

MATH 115 Precalculus MATH 115 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must...

Need help on Algebra..any help is appreciated. Answer key is attached There are 30 problems. Problems #112 are Multiple Choice. Problems #13~2l are Short Answer. (Work not required to be shown)...

1. Part 1 - Application The magnitude R (on the Richter scale) of an earthquake of Intensity / is defined as R = log To where Io = minimum intensity used for comparison. Ms. Cohen felt an earthquake...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Math 012 Quiz 4 Fall 2016 Professor: Jean Alexander Name________________________________ Instructions: The quiz is worth 50 points. There are 10 problems, each worth 5 points. Your score on the quiz...

2) Using the manager's organized data in the following table identify what percent of the automobiles should be in red ? Celor Yellow Red Black Dive Green S 20 22 15 18 10 a) b) 22.0% c) 0,85% d)...

What entrepreneurial opportunities do you see ahead for Sara Blakely?

when using the opacity property to add transparency to the background of an element, all of its child elements inherit the same transparency. This can mek the text inside a fully transparent element...

REVIEW THE INFORMATION ABOUT LEAPFROG HOSPITAL SAFETY GRADES. CHOOSE TWO HOSPITALS TO COMPARE A VERY EFFECTIVE ONE AND ONE WHICH IS NOT EFFECTIVE. WHAT SEPARATES THE TWO? HOW CAN THE A HOSPITAL USE...

4. What is the meaning of this statement, we should always demarcate a problem in accordance with our objectives, or with what we are trying to understand? a) Give at least three examples that shed...

3. Discuss the following statements: a) The way in which a problem is structured provides many of the premises for the actual solution. b) Our assumptions about the demarcation of a problem will...

1. Discuss the following statements: a) When the cause is identified, the effect has always occurred already. b) Predictions made with hindsight are almost always correct.