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# Basic Algebra

### Logarithms

Write 4^2=x in logarithmic form

### Natural Log

How do I solve for 7 ln 9x =49?

### Logarithms Equations

How do I solve the equation (log subscrpt 4) x =3?

### Simplifying Logarithms

How do I write (log subscript 2) 48 minus (lob subscript 2)3 as a single logarithm?

### Logarithmic Functions Expanded

I have a question regarding logarithmic functions-- the problem is this log base 4 (64x^5) this is to be expanded. I have factored 64 but I still am not coming up with the correct answer. I have 4+5 log 4 x. The book has 3+5log4x. What am I doing wrong???? Is the book wrong? I have been trying to figure this out but just

### Sum of Odd Numbers

How do I add the odd numbers from 5 to 371?

### Expression, Domain, and Range

Agents determine the cost for maintaining and hiring a hall by charging a flat fee of \$55 for maintenance and the an hourly fee of \$45 per hour. The maximum fee for the whole day's use is \$595 a)Write the mathematical expression for the function used to generate the cost of hiring the hall.What would the domain and the range be

### Natural log and condensed coefficient

I have a question regarding natural logarithms. The question is this-- ln x + ln 7 We are supposed to condense this and write as a single logarithm whose coefficient is one.

Simplify the radical expression : 8730;300 Solve the radical equation : 2x + 4 = 4 Simplify (fraction) : 5y/16 + 7y/16 - 3y/16 Simplify (fraction) : 5/8 15/16 +1/2 Solve (fraction) : x/6 - x/8 = 1

### Egyptian multiplication methods

Problem 1 problem 2 13* 25=325 18* 17 =306 1 25 (1*25) 1 17 2 50 (2*25) 2 34 4 100 (4*25) 4 68 8 200

(x+y)^6

(m+n)^4

### Recursion formula

What would the recursion formula be for that problem. Please see attachment.

### Finding a Zero of a Polynomial Function

Finding a zero of a polynomial function. I know that we the zeros by setting f(x) equal to 0 and solving the equation. The book only gives two examples--so I am pretty much stuck. The problem is: f(x)=2(x-5)(x+4)^2 This is what I have done so far-- 0=2(x-5)(x+4)^2 0=2(x-5) + (x+4)^2.

### Find zeros of a function

See the attached file.

### Graphing Inequalities: X - 5> = 9

Graph: X - 5> = 9 (> Means Greater or Equal to)

### Quadratic Equations and Inequalities: Domain and Range

Please see the attached file for the fully formatted problems.

### Simply and Solve

Please see the attached file for the fully formatted problems.

### Need these Algebra problems explained

(See attached file for full problem description) --- ALGEBRA Please add a bit more detail to each problem as to how the answers were derived. Thanks! 1. Perform the indicated operation: (x3 - 2x2 - 4x + 3) &#61624; (x - 3) Since x3 - 2x2 - 4x + 3 = (x - 3) ( ), we have (x3 - 2x2 - 4x + 3) &#61624; (x - 3) =

### 25 Problems : Solve for Real or Imaginary Roots, Word Problems (Sum of two numbers) , Lowest Terms, Inequalities and Quadratic Equations

1. Perform the indicated operation: (x3 - 2x2 - 4x + 3) &#61624; (x - 3) 2. Find the product: (x - 2)(x + 3)(x - 4) 3. Simplify without having negative exponents: (- 3s-3t2)-2 4. Convert to scientific notation and then solve. Give answer in scientific notation: (0.0000003)4 5. Factor completely: 3a3b - 3ab3 6. Factor

### Polar and Cartesian form for each given function

Obtain z^10 and z^20 in both polar and Cartesian form for each given z : 3+4i

### Evaluate in Cartesian Form : sin(3+ pi i) and tan(-3pi/4i)

Tan(-3pi/4i) sin(3+ pi i)

### Express in standard cartesian form x + iy

F) Re (2 + 3i)/(4+5i)

### Solving Algebraic Equations for a Given Variable

Solve for x: x + 8 x - 8 -------- - -------- = 2 5 7

### Domain, X- & Y-Intercepts, Asymptotes, Concavity & Inflection

F(x) = e^x/x For f(x), find the following: 1. domain of f 2. y intercepts of f 3. x intercepts of f 4. horizontal asymptote 5. vertical asymptote 6. oblique asymptotes 7. intervals where f is increasing and decreasing: 8. relative minima of f and relative maxima of f. 9. intervals where f is concave down 10.

### Inequalities Word Problem - Compare financing a car for 0% financing for 60 months or 2500 vs a 60 month 4 % interest rate.

I need to understand how to figure out a word problem to compare financing a car for 0% financing for 60 months or 2500 vs a 60 month 4 % interest rate. Payments at 0 % are 16.67 per 1000 and payments at 4 % are \$18.41 per \$1000 financed. Need to know how to find out the range of new car prices for which the cash back options

### PRE ALGEBRA PROBLEMS

Use the discriminant to determine whether each quadratic polynomial can be factored, then factor the ones that are not prime. / Solve each inequality. State the solution set using interval notation and Graph it. PLEASE SEE ATTACHMENT/ THANKS

### Functions and Graphs

Hi--we are currently working on composite functions. I am having difficulty getting started with this problem. A company that sells radios has a yearly fixed cost of \$600,000. It costs the company \$45 to produce each radio. Each radio will sell for \$65. The company's costs and revenue are modeled by the following functio

### Find the domain, range, vertex and intercepts for quadratic functions.

Please see the attached file for the fully formatted problems.

### Proof by Induction Divided

Prove that 3^(3n-2) + 3^(6n+1) +1 can be divided by 13 with no remainder for any integer n.