Question: Problem 1.15. Prove that loga (xy)- loga x +loga y. log, x% y log, x, loga x

Problem 1.15. Prove that loga (xy)- loga x +loga y. log,

Problem 1.15. Prove that loga (xy)- loga x +loga y. log, x% y log, x, loga x

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 Databases Questions!

Q:

Prove the following identities on logarithms: 1. Prove that loga (xy) = loga x + loga y 2. Prove that loga x^y = y loga x 3. Prove that log_a x = logb x/ logb a 4. Prove that x ^logb_y = y ^logb_x

Q:

1. Indicate whether the statement is true or false. V V V V VV _a) All exponential functions have a vertical asymptote b) You can write log, 21 as Jog 4 log 21 c) loga xy = (loga x) (logay) d) loga x...

Q:

please help with the following Part C- Communication [COMM - 20 marks] 1. Indicate whether the statement is true or false. VV VV vv a) All exponential functions have a vertical asymptote b) You can...

Q:

I'm confused some question. In Q2, why RHS just need to from log2 n to log2 n/2. In Q4 (2), how to prove that? In Q5, how to solve this problem Worksheet 3 CSE 331: Algorithms and Data Structures 1....

Q:

Please answer question 1. Show your work. Possible formulas: log,(1) =0 log,(a)=1 log,(a) = x a]8a () X Product Law: loga (x) + loga (y) = loga (xy) Quotient Law: logg (x) log, (y) = loga(x/y) Power...

Q:

Please answer question 2 and show your work. Possible formulas: log,(1) =0 log,(a)=1 log,(a) = x a]8a () X Product Law: loga (x) + loga (y) = loga (xy) Quotient Law: logg (x) log, (y) = loga(x/y)...

Q:

Please answer question 5 an and b. Show work. 5. Sketch the following graphs and label the asymptote(s) if existed. Then, state their domain, range and the equation of the asymptote. O Sketch O State...

Q:

please answer thw question below 3. Change exponential expressions to logarithmic expressions and vice versa a. 2 =m b. a* =24 c. loga 4=25 d. loge b=3 e. log4 = -3 64 4. Finding the exact value of a...

Q:

832 Chapter 13 Exponential and Logarithmic Functions IMPORTANT FACTS AND CONCEPTS EXAMPLES Section 13.6 Properties for Solving Exponential and Logarithmic Equations a) If x = y, then ax = ay. a) If x...

Q:

Express as a single logarithm and, if possible, simplify. 25 ) = logax + =loga y A) loga (x2/7 y1/5) B) ~ loga xy C) loga (xy2/35) D) loga (x2/7 + y1/5) 26 ) 2 1In ( 12 - 64 ) - In(y + 8)1 + In (y...

Q:

The mechanism for acidic hydrolysis of a nitrile resembles the basic hydrolysis, except that the nitrile is first protonated, activating it toward attack by a weak nucleophile (water). Under acidic...

Q:

Draw an ER diagram including entity types, relationship types, attributes (including key attributes), and cardinality constraints. Note: If necessary optimize the ERD using Associative Entity. Entity...

Q:

Aaron is starting a new business with his best friend, Jack. They are concerned about liability. They would prefer flow - through taxation because they expect to have losses in the first few years....

Q:

Assume you have this business. Explain The Marketing Process- in detail please refer to your businessBusiness: Mango Products which consist mango sago, mango smoothie, mango graham cake, mango pie...

Q:

How many Tables Will Base HCMSs typically have? Why?

Q:

What is the process of normalization?

Q:

What is Notation in Data Modeling, and what is the most common Notation Type used?