Basic Math question and answers for September 25, 2024
- Q Solve the given equation for the variable. (Round your answers to four decimal places. Enter your answers as a comma-separated list.)10,000 = 700(1.04^8t + 1)t =
- Q A bacteria doubles every 6 hours. If the initial population is 50, after how many hours will the populationreach 1,000? Express your answer as a decimal rounded to the nearest...
- Q Write the following equation in its equivalent exponential form.6 = logb64
- Q Given the following equation, solve for x.e^2x-5 = e^5x+1x=-2x=2x=1no solution
- Q Use properties of logarithms to expand each logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible.
- Q The given function y is positive for all x greater than three. Hence, the function In y is ---Select--- in the domain of x. Obtain the natural logarithm of the...
- Q Gold-198 has a half-life of 2.7 days. What is the model that represents howmuch of a 206 g sample of gold-198 will be left after 6.3 days?
- Q Use the properties of logarithms to simplify the following expression into a single logarithm. Showall work.2 ln(x) + 3 ln(y) - In(4)Edit View Insert Format Tools Table
- Q Given y = 1/2 log5 (x) - 2, which of the following represents the logarithm equation rewritten into exponential form?5^2y +2=x5^2y+2 = x5^2y+4= x5^y+2/2 = x
- Q Solve the following logarithmic equation, log, (2x + 5) = log3 (3x - 1)x = 6/5x = 6no solutionx = 4
- Q Given e^2x-5 3y, which of the following represents the exponential equation rewritten into logarithmic form?In (3y)=2x-5log(2x - 5) = eIn(3e)=2x-5In (y) = 2x - 5
- Q Given each logarithm equation below, matchthe logarithm with its base.Equation A) 5 log, 2 = xEquation B) log? (3) = 5xEquation C) In (3x) = 2Equation D) log(5x) = 3Equation...
- Q Solve for x.log5 (x+3)=1-log5 (x+7)If there is more than one solution, separate them with commas.If there is no solution, click on "No solution".
- Q Evaluate the expression, reduce to simplest form.Do these WITHOUT your calculator. It is about understanding the concepts, not being able to push buttons.(a) 2og? 3Your answer is(b) 10log 7Your answer...
- Q Use the change-of-base formula to convert to natural logarithms. Then use a calculator to find the value of log9, (73).
- Q Solve the exponential equation by taking the logarithm of both sides.You will need to use a scientific calculator for this problem.e0.07 = 13Your answer must be correct to at least...
- Q In 2012, the population of a city was 5.92 million. The exponential growth rate was 3.24% per year.a) Find the exponential growth function.b) Estimate the population of the city in...
- Q Evaluate each logarithm using properties of logarithms and the following facts.loga (x) = 3.1 loga (y) = 1.2loga(z) = 2.1(a) loga (yz)(b) loga ((z/y)(c) loga (y)8(d) loga (3?z)
- Q Use the change of base formula to compute log(3)1/8Round your answer to the nearest thousandth.
- Q Use the change of base formula to compute log3 4.
- Q find the domain of each logarithmic function.f(x) = log5 (x+4)f(x) = log5 (x+6)f(x) = log (2 - x)f(x) = log (7 ? x)f(x) = ln(x - 2)f(x) = ln(x 7)
- Q In Exercises 10-8, write each equation in its equivalentexponential form.1. 4 = log?162.6 = log?643. 2 = log3x4. 2 = logga5.5 = log 326. 3 = log 277. log6216 =...
- Q Solve the following logarithmic equation.log x+ log (x-48)=2Write the equation obtained after applying the definition of and the properties of logarithms.(Simplify your answer. Do not factor.)Select the correct choice below...
- Q Write the following expression as a single, simplified, logarithm.log7 (3xy) log7 (5x6y)Note: If you are using log you need to type it in and use the subscript button on the...
- Q QUESTION 81 POINT- 3 daysUse the change of base formula to express log, 4 using In, the natural logarithm.Note: When entering natural log in your answer, enter lowercase LN as...
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