Solve the problem. The half-life of an element is 5.8 x 10° yr. How long does it take a sample of the element to decay to of its original mass? (Express results in scientific notation, rounded to the nearest hundredth.)

Q: Solve the exponential equation ex+1 = 1/e by expressing each side as a power of the same base and…

A: We first write the right side using an exponent.

Q: Given log2(4x −4) = −2 how do I solve for x?

A:

Q: Carbon 14 has a half life of 5730 years. An archeologist uncovers human remains and finds that 76.6%…

A: The initial amount of carbon=P= 100% =1  Final amount of carbon= A= 76.6%= 0.766 time = t (in years)…

Q: Solve the equation ln ex = 5

A: ln ex=5

Q: Solve the exponential equation 6(23x−1) − 7 = 9 algebraically. Approximate the result to three…

A: 6(23x−1) − 7 = 9

Q: solve the following equation:  x = log5(1/625)

A:

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A:

Q: Solve for . log3 (2) = 10 %3D (Separate answers by a comma.) If the answer is radical use sgrt(5) to…

A:

Q: How long does it take until 5% of the isotope technetium-99m d) nains? Round to the nearest tenth of…

A: Topic:- exponential decaying function

Q: half-life of radium is 1690 years. If 90 grams are present now, how much will be present in 9 grams…

A: Given that: Half life of radium = 1590 years.90 gms radium is present.

Q: 3. Solve the equation for x a) 45-4x = 1 86-2x b) log2 (2x+4)= 4 c) enx = 11

A: in each part we need to solve the equation for x

Q: Solve the following exponential equations. Give the exact solution

A: Any term with negative exponent is expressed in the denominator with positive exponent.When bases…

Q: Solve the equation for x.  ln 3x = 2

A: Given: ln 3x=2

Q: Solve the equation accurate to three decimal places. log2(x − 1) = 5

A: According to the question, we have to find the accurate value to three decimal places of log2x-1=5.…

Q: 1) Solve for b. Express the result as a reduced fraction. 1 log, 4 3

A:

Q: Solve the given equation by hand log(x) = −1

A:

Q: 3. Solve the equation for x a) 45-4x 1 = 86-2x b) log2 (2x+4)=4 c) enx=11

A:

Q: The half-life of radium is 1690 years. If 30 grams are present now, how much will be present in 140…

A:

Q: Solve the following exponential equation. ex+ e-X 3

A: To find the value of the x for the given equation

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 710…

A: Formula for decay A(t)= Aoekt Given Ao=80

Q: The half-life of radium is 1690 years. If 30 grams are present now, how much will be present in 570…

A: We have to finds the remaining amount

Q: log 10x dx

A:

Q: How long will it take to drill 5 feet if we start at 100 feet?

A: How long will it take to drill 5 feet if we start at 100 feet?  We need to construct regression…

Q: Solve the following exponential equation in irrational solution exact form 4^x+2^x+1-1=0

A:

Q: Find graphically approximate value of the root of the equation an 3 – x = e* - 1.

A:

Q: Solve for x accurate to three decimal places.

A: Solve for x accurate to three decimal places.  50001+e2x=2

Q: At the beginning of an experiment, a scientist has 188 grams of radioactive goo. After 180 minutes,…

A:

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 360…

A: Given query is to find the amount remaining after 360 years.

Q: Solve the equation algebraically log 8 ( log 5 x ) = 0 %3D

A: To solve the equation algebraically, log8(log5x)=0

Q: Solve the equation for x.   ln x2 = 9

A: The given equation is  lnx2 = 9 To find  : x = ?

Q: Solve the following exponential equation: (21/17) * = 3 = 1/3 Or 0x Oz = -1 Ox 3 0x x = 0 x x = 1

A:

Q: half life of radium is 1690 years. if 60 grams are present now how much will be present in 300 years

A:

Q: Solve 4- 4- = 16 log (x + 2y). дкду ду? dxdy 2.

A:

Q: Solve the following elementary exponential equation. (2/3)4x+7= (27/8 )x

A:

Q: Solve the following exponential equation. Give irrational solutions as decimals correct to the…

A:

Q: Find the exact solution to the exponential equation 22=12(0.3)^q( do not give a decimal…

A: Given,            22=120.3q

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: Given initial mass   m=175 gram

Q: Given: ex - LN(x) = 4. If x = 0.05 is one solution for the equation, use a graphing calculator to…

A:

Q: Express the equation in exponential form. (a) In 3 = x (b) In y = 3

A:

Q: a. In(3x) = 2.1 b. logs (4x + 7) = 2 c. log 4 + log(x - 5) = log 16

A: Question is solved.

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 82% of the…

A:

Q: log 49 x = 3/2 , the answer would be ?

A: Given that: log(49x)=32

Q: Algebraically find out when there will be only 72% of the original Carbon 14 left. Use your…

A: Halflife of carbon 14 is 5730 ± 30 years

Q: The half-life of radium is 1690 years. If 50 grams are present now, how much will be present in 580…

A: Since it is given that half-life of radium is 1690 years.Our aim is to calculate that how much…

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 240…

A:

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: initial mass=135 grams half-lives=4

Q: A radioactive substance is decaying according to the formula y = Be-0.02t , where y mg is the amount…

A:

Q: 5. | (ex + 1)³e*

A: Given: I=∫(ex+1)3ex dx

Q: The half-life of radium is 1690 years. If 90 grams are present now, how much will be present in 370…

A: