Find the solution of the exponential equation e2a +1 in terms of logarithms, or correct to four decimal places. 49 > Next Question

Q: (a) The number of bacteria present in the potato salad left out on a table, after x hours is given…

A:

Q: 7) Solve for "x" in the equation log,(x + 2) -1 = 4 (3 decimal point accuracy, %3D

A:

Q: Solve the exponential equation e4x - 3e2x - 18 = 0. Express the solution set in terms of natural…

A: We first factor the given expression.

Q: Solve the exponential equation 7x+2 = 410. Express the solution set in terms of natural logarithms…

A: The given exponential function is 7x+2=410 Taking log on both sides ln(7x+2)=ln(410)

Q: The population of a country was 150 million in 2010 and has been decreasing exponentially at the…

A: Population model

Q: Solve the exponential equation e5x-3 - 2 = 10,476. Express the solution set in terms of natural…

A: Given exponential equation :      e5x-3-2=10476

Q: 25. When you consume 80mg of caffeine, the amount "A" left in your body (in mg) after "n" hours is…

A: The logarithm of a number is the power to which a number called the base of the logarithmic function…

Q: Use common or natural logarithms to solve the exponential equation. 2 e5x +7 = 6 X = (Round to four…

A:

Q: Solve the exponential equation 3e5x = 1977 . Express the solution set in terms of natural logarithms…

A: 3e5x=1977 On simplification, we get ⇒e5x=19773⇒e5x=659⇒5x=ln659       Because, if ex=y then…

Q: 1. Rewriting the equation log, (8) = y as an equivalent exponential equation gives = 8 2. Solve the…

A: Given: log28=y

Q: 1. Rewriting the equation log1 (256) = y as an equivalent exponential equation gives = 256 2. Solve…

A:

Q: how do you use the definition of a logarithm to solve this equation? step by step please

A: Given the equation,

Q: Use logarithms to solve the problem. How long will it take $11,000 to grow to $13,000 if the…

A:

Q: LT13, Exponential/Logarithmic Unit (U4): Solving exponential and logarithmic equations e-2 1. Solve:…

A: To solve the given equation

Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

A:

Q: Find the solution of the exponential equation 1000(1.08)“ = 5, 000 in terms of logarithms, or…

A: Given: 1000(1.08)2t=5000

Q: Solve the equation 2X = 9 for x. Part A What is the exact solution written as a logarithm? A. x =…

A: To find: Solution of given equation.

Q: 8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.

A: Consider the given logarithmic expression, log47342 since, the number 7342 lies between, 46=4096 and…

Q: Solve the exponential equation e2x - 3ex + 2 = 0. Express the solution set in terms of natural…

A: The quadratic equation is in the form of :

Q: 1. Rewriting the equation log, 16 = y as an equivalent exponential equation gives 1 16 2. Solve the…

A: We will solve the following.

Q: The count in a bacteria culture was 400 after 10 minutes and 1100 after 30 minutes. Assuming the…

A: Given that, The count in a bacteria culture was 400 after 10 minutes and 1100 after 30 minutes.

Q: The amount of chemical that will dissolve in a solution increases exponentially as the temperature…

A:

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A:

Q: A radioactive substance decays exponentially. A scientist begins with 120 milligrams of a…

A:

Q: Writean equivalent exponential or logarithmic equation e ^ x = 3

A: We know that , eln (u)=u

Q: Solve the exponential equation 3e5x = 1977. Express the solution set in terms of natural logarithms…

A: Given: exponential equation is 3e5x=1977

Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

A: Solution

Q: Solve equation .Round decimal answers to four decimal places. log8 16 = z

A: Given equation is log816=Z

Q: Solve the exponential equation e5x-3 - 2 = 10,476. Express the solution set in terms of natural…

A: the given exponential equation is e5x-3-2=10476 we have to solve the given exponential equation. we…

Q: A certain culture of bacteria will grow from 500 to 4000 bacteria in 1.5 hours. Find the constant k…

A: Initial value of bacteria= 500 final value of bacteria = 4000 the given time is 1.5 hours

Q: Create an exponential equation of the following form, where a, b, c, d, e, and f are real numbers…

A:

Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or…

A:

Q: A woman who has recovered from a serious illness begins a diet regimen designed to get her back to a…

A: The current weight of woman, w0 = 107 pounds She hopes Each week the weight will be multiplied by…

Q: The age of a bone can be determined from the fraction of carbon-14 that remains in the bone. The age…

A: For a positive number n, the logarithm of n is the power to which some number b must be raised to…

Q: What is the logarithmic form of the equation? 3 = 14 Enter your answer by filling in the boxes. log…

A:

Q: 9. Between what two consecutive integers must the value of log, (00) lie? Justify your answer.

A:

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: The given equation is  700e-3x = 175

Q: Solve the following exponential equation. Express your answer as both an exact expression and a…

A:

Q: 1. Rewrite log(100) = x as an equivalent exponential equation. 2. Rewrite 4* = 64 as an equivalent…

A: 1  log100 = x equivalent exponential function  for exponential function we take both side…

Q: Q2. Solve the following exponential equation. Express the solution set in terms of natural…

A: Take log both side and then solve

Q: A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a…

A:

Q: Solve the exponential equation e4x - 3e2x - 18 = 0. Express the solution set in terms of natural…

A: Given the exponential equation e4x-3e2x-18=0 Consider e2x=v and put in above equation Therefore, the…

Q: 29. Write an exponential model representing the amount of the drug remaining in the patient's system…

A:

Q: Solve the exponential equation 22x + 2x - 12 = 0. Express the solution set in terms of natural…

A: Given:22x + 2x -12=0

Q: 1. Rewriting the equation log2 (16) = y as an equivalent exponential equation gives = 16 2. Solve…

A: Given equation,  (16)=y. Log rule: logab =c can be written as ac = b.

Q: The exponential function N=3.93x1.34^d gives the approximate U.S. population, in millions, d decades…

A: Given, exponential function is N=3.93x1.34d where population is in million and d is time for…

Q: Solve the exponential equation e2x - 3ex + 2 = 0. Express the solution set in terms of natural…

A: Given: The exponential equation as e2x-3ex+2=0 To find: The solution of given equation.

Q: Solve the exponential formula for the variable L = a(1 – be¯) for k by converting to logarithmic…

A: The given equation is L=a1-be-kt.