Properties of logarithms - Study guides, Class notes & Summaries

MATH 115 QUIZ 3 / QUESTIONS AND CORRECT ANSWERS 2023/2024. SOLUTONS 1. (a) Let x=log6 1 7776 State the corresponding exponential form of this logarithmic equation. logb v=x means v=b x Thus, the exponential firm of this equation is 6 x= 1 7776 (b) Determine the numerical value of log6 1 7776 in simplest form. Note that 7776=6 5 . Thus 1 7776 =6 −5 So, we have 6 x=6 −5 x=−5 2. Use an appropriate change of base formula to approximate log3 36 to the nearest...

College Algebra CLEP Exam questions and answers 100% correct The Quadratic Formula Same base, different exponents add exponents Different base, same exponent multiply bases together y=logₙ(x) --> x=n^y Properties of Logarithms logₙ(xy) = ? logₙ(x) + logₙ(y) Properties of Logarithms logₙ(x/y) = ? logₙ(x) - logₙ(y) Properties of Logarithms logₙ(x^y) = ? ylogₙ(x) Properties of Logarithms logₙ(1) = ? 0 logₙ(...

What do you need to do to add / subtract fractions? - ANSWER-Get a common denominator How do you multiply fractions? - ANSWER-Multiply numerators and multiply denominators How do you divide by a fraction / what do you do if you have a fraction in the denominator? - ANSWER-Multiply the entire term by the reciprocal fraction Compute. (1/3) + (7/5) - ANSWER-(1/3) + (7/5) (5+21)/15 = 26/15 Compute. [(3x-1) / (x^2-2)] + [1/(x-1)] - ANSWER-[(3x-1) / (x^2-2)] + [1/(x-1)] [(3x-1)(x+1) +...

Sophia College Algebra Milestone 5. Score 19/22 You passed this Milestone 19 questions were answered correctly. 3UquNestiIonTs we5re a—nswerMed inIcLorrEectSly.TONE 5 Susan monitors the number of strep infections reported in a certain neighborhood in a given week. The recent numbers are shown in this table: Week Number of People 0 20 1 26 2 34 3 44 According to her reports, the reported infections are growing at a rate of 30%. If the number of ...

Act Math Test Practice 40 Questions with Verified Answers Integrating Essential Skills, Ratios, Proportions, and Percent On a map, 1/2 inch represents 16 miles. How Many miles long is a road that is 4-3/4 inches on the map? A 76 B 112 C 128 D 139 E 152 - CORRECT ANSWER 0.5/16 = 4.75/x (Cross Multiply to find X) -----> x = 152 Miles (E) Integrating Essential Skills, Ratios, Proportions, and Percent If -4 ≤ x < 2 and x is an integer, how many different values can x ha...

Sophia College Algebra MM212 Final Milestone 20/25 that's 80% 20 questions were answered correctly. 5 questions were answered incorrectly. 1 Geri runs a total of 3.1 miles in a cross-country race. How many feet is this equivalent to? • 5,280 feet • 16,368 feet • 4,989 feet • 15,840 feet RATIONALE In general, we use conversion factors to convert from one unit to another. A conversion factor is a fraction with equal quantities in the numerator and denomi...

MATHEMATIC 107 Sophia College Algebra Unit 5 Milestone 17/22 that's 77% Well done! If you keep getting Milestone scores like this you'll pass the course. 17 questions were answered correctly. 5 questions were answered incorrectly. 1 This is the formula to find the sum of a finite geometric sequence. We will use informati given sequence to find values for , , and . Let's start by finding , the va first term. In the above sequence, the first term is ....

College Algebra - Final Milestone with Answers!! You passed this Milestone 23 questions were answered correctly. 2 questions were answered incorrectly. 1 Which of the following equations is correctly calculated? • -2 × -7 = -14 • 81 ÷ -9 = -9 • -36 ÷ 4 = 9 • 4 × 12 = -48 RATIONALE This is correct. The quotient of a positive and negative number is always negative. This is incorrect. The product of two negative numbers is always positive. The correct product is 14....

CFA Level 1 Quantitative Methods Exam 318 Questions with Answers Three ways interest rates can be thought of - CORRECT ANSWER First, they can be considered required rates of return—that is, the minimum rate of return an investor must receive in order to accept the investment. Second, interest rates can be considered discount rates. In the example above, 5.26 percent is that rate at which we discounted the $10,000 future amount to find its value today. Thus, we use the terms "interest r...

Same base, different exponents - Answer-add exponents Different base, same exponent - Answer-multiply bases together y=logₙ (x) --> - Answer-x=n^y Properties of Logarithms logₙ (xy) = ? - Answer-logₙ (x) + logₙ (y)