Math

Logarithms Solutions

A student solved the equation below by graphing. log₆(x-1)= log₂(2x+2) Which statement about the graph is true? O The curves do not intersect. O The curves intersect at one point. O The curves intersect at two points. O The curves appear to coincide.

Find the equation of the function that is finally graphed after the following transformations are applied to the graph of y = 3ˣ (write your resulting transformation in every step as well as your final result): a) Shift down 2 units b) Shift the result of a) right 3 units c) Reflect the result of b) about x-axis d) Reflect the result of c) about y-axis

Write the expression as a sum and/or a difference of logarithms with all variables to the first degree. log [9w(v + 4)] (A) log 9+ log w+ log v + log 4 (B) log 9+ log w+ log (v + 4) (C) log 9- log w-log (v + 4) (D) 9log w+ log (v + 4) (E) log (9w) + log (9v) + log 36

Simplify the expression without using a calculator. log₄ 4¹¹.

Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. Assume that the variables represent positive real numbers. log₅ (x³/yz).

View Policies Current Attempt in Progress Bacteria Growth. The number of bacteria in a culture is increasing exponentially.Initially, there were 100 in the culture. After 2 hours there are 150. How many should be expected in 11 hours? Round your answer to the nearest hundred. After 11 hours, there will be approximately i bacteria. Save for Later Attempts: 0 of 1 used Submit Ans Answer

Note: When solving for k, round to four decimal places. A culture started with 2,000 bacteria. After 4 hours, it grew to 2,600 bacteria. Predict how many bacteria will be present after 17 hours. Round your answer to the nearest whole number, P = Acht

Note: When solving for k, round to four decimal places. A country's population in 1991 was 231 million. In 1999 it was 233 million. Estimate the population in 2003 using the exponential growth formula. Round your answer to the nearest million, P= Aekt

Given that log.(3) = 0.45 and log.(4) -0.57. evaluate each of the following. Hint: use the properties of logarithms to rewrite the given logarithm in terms of the the logarithms of 3 and 4. a) loga (3) b) loga (12) c) log.(0.75) = Simplify the expression using trigonometric form and De Moivre's theorem. (5 - ;) (5-1) = 0 (Tvne vou

Previous Problem List Next (1 point) Use the Laws of logarithms to rewrite the expression In c.17,/y! 215 in a form with no logarithm of a product; quotient or power. After rewriting we have In (" = A ln(x) + B In(y) + C In (2) 215 with the constant A the constant B and the constant C = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Gold Inetusten

Correct - Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. log2 (&r? + 16x + 8) Answer Keypad Keyboard Shortcuts + log

18. Use the Change of Base Formula to evaluate log3 58. Then convert log3 58 to a logarithm in base 4. Round to the nearest thousandth. 1.763; log4 77.333 3.696; log4 167.957 3.696; log4 77.333 04.060; log4 167.957

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