If log, (4x + 4) = 1, then x = You may enter the exact value or round to 4 decimal places.

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: ount of asprin decays exponentiallyf(t) = Ae-ktat t = 0 ,   300 = Ae0⇒ A = 300

Q: If log, (6x + 2) = 5, then x = You may enter the exact value or round to 4 decimal places.

A: Answer is mentioned below

Q: If log, (4x + 6) = 3, then x = %3D

A: Given:          log2(4x + 6) = 3   To find x

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: We will solve the exponential model for the Aspirin decay

Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A:

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal…

Q: Without using a calculator,find the exact value of:

A:

Q: . Show that log(1) = 2nti, n = 0, ±1, ±2, ...

A:

Q: f(x) = 7-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Without using a calculator, find the exact value of log, 81 – log, 1 log,v 8 – log 0.001

A: To find the exact value of log381-logπ1log228-log0.001. Solution: Properties of logarithm are: 1.…

Q: If log, (3x + 3) = 3, then x You may enter the exact value or round to 4 decimal places.

A:

Q: If logx(1 / 8) = -3 / 4, than what is x?

A: Given,

Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

Q: If log3 (x + 2) = 2, the value of 'x' is..... %3D

A: If logam=n then m=an

Q: Consider a population of a certain country that is observed to grow exponentially. Based  from the…

A:

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A:

Q: If log, (3z + 6) = 3, then z = You may enter the exact value or round to 4 decimal places.

A:

Q: Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The…

A: Given:    Since we have given that Number of bacteria initially = 1   It triples in number every 30…

Q: If log, (7x + 5) = 5, then z = You may enter the exact value or round to 4 decimal places.

A: Simplification

Q: Find the exact value of the logarithm without using a calculator. log , 4 log | (Type an integer or…

A:

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: We need to find log value.

Q: That half-life of Plutonium-230 is 24,000 years. If 10 grams are present now, about how many years…

A: Consider the equation

Q: If there are 520 grams of Tadioactive material with a half-life of 12 hours, how TIuch of the…

A: The material is decaying at a constant rate, every 12 hours it is getting halved.  So, it is an…

Q: What is the branch point of log(−2)?

A: Given expression is, log-2 Now, at the point z=-2 we can consider the path as a circle of radius R.…

Q: The solution to log3(2x − 1) = 4 is: STEPS PLEASE

A: Properties of Logarithm: Given function is: Rewriting given function:

Q: Express in terms of logarithms without exponents. logb(x3y9z) What is the equivalent expression?…

A:

Q: If a project takes 10 people 12 months to complete and the Pointy-Haired-Boss says 20 can do it in 6…

A: Given information: 10 people takes 12 months to complete the project. Pointy-Haired-Boss says that…

Q: Write 5 ln x + 3 ln (x² + 4) – , In (x + 8) single logarithm. as a - -

A: The logarithmic expression is given by 5ln(x) + 3lnx2+4 - 12lnx+8

Q: What is log₁₀ 9 to 3 decimal places?

A:

Q: Without using log.[log 3(log, 8)]. a calculator, find the exact value of

A: Without using a calculator, find the exact value of log4log3log2 8

Q: Use the one-to-one property of logarithms to solve. In(50 – 3x) = In(-4x) X =

A:

Q: \log _2\left(5x+2\right)=2, then x = You may enter the exact value or round to 4 decimal places.

A:

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A:

Q: If log x = 3.5 and log y = 5.5, how do x and y compare?

A: We use the definition of the logarithmic function to answer the given question.

Q: Express as a single logarithm and if possible simplify

A:

Q: Use logarithms to solve. e2x – ex – 56 = 0 - -

A: Given: e2x-ex-56=0. To find: The solution of given equation.

Q: Find the exact value of the logarithmic expression. log7343

A: Given : log7343

Q: The logarithmic equationb log, 3 = c, where a > 1, expressed in exponential form could be

A: Consider the logarithmic equation  bloga3=c              , a>1

Q: If log, (4x + 3) = 4, then x = %3D You may enter the exact value or round to 4 decimal places.

A:

Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: The solution set for the equation logx(2x + 3) = log24 is %3D

A:

Q: If log, (3x + 2) = 4, then x = Calculator

A: The given logarithmic equation is log23x+2=4 To find: x

Q: Express as a single logarithm. (a) 4 In(x – 6) – In(x² – 10x + 24) + 2 In(x – 4)

A: The given logarithmic expression is: 4 lnx-6-lnx2-10x+24+2 ln x-4  Since the  logarithmic property…

Q: Write In(x2 - 3x + 2) - In(x - 1) as a single logarithm. In(x + 2) In(x + 1) In(x + 3) In(x - 2)…

A: We can find the answer as given below

Q: How would you describe log, (2-x) for x=5? Why?

A: Given: log7(2-x)

Q: If log, (7x + 4) = 2, then x = You may enter the exact value or round to 4 decimal places.

A: Simplification

Q: If log, (5x + 3) = 3, then x = You may enter the exact value or round to 4 decimal places.

A:

Q: If log, (5x + 6) = 5, then x = You may enter the exact value or round to 4 decimal places. > Next…

A: We will solve for x.

Q: If log, (5x + 3) 3, then x = = You may enter the exact value or round to 4 decimal places. > Next…

A: Find the value of x

Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: Let the amount of aspirin in bloodstream at time t be N(t) and initial the amount be N0. Therefore…