Solve for x: 4^x = 5^2x+1

Q: Solve for x accurate to three decimal places.

A: We need to solve the equation for x, ln4x=1

Q: A rectangle's length is 5 metres longer than twice its width. If both the length and the width are…

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Q: A culture of bacteria originally numbers 500. After 2 hours there are 1500 bacteria in the culture.…

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Q: Jaox+31 =-3 L+X8 -

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Q: A 25-year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: A country is growing by 10% per year. Find out the time it takes for the population to double.

A: Given the country is growing by 10% per year. To find out the time it takes for the population to…

Q: A 25-year old woman burns 250 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: In 2011 a country had a population of 117 million and a growth rate of -0.372%.  Assuming that this…

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Q: A 25-year old woman burns 300−80t cal/hr while walking on her treadmill. Her caloric intake from…

A: We are given that a 25 year old woman burns 300 - 80t cal/hour while walking on treadmill and her…

Q: Average health premiums have been increasing at a rate of 10%. If an average family's premiums are…

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Q: Solve: ln(x - 3) = ln(7x - 23) - ln(x + 1).

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Q: Solve ln(x^2−5x)=ln(6)

A: We have to solve

Q: If $5000 is invested at 7% annual simple interest, how long does it take to be worth $8150? yr

A: As from the formula of simple interest, i=p×n×r100               ...(1) Where, p = principal n=time…

Q: The length of a rectangle sign is 6 inches more than half of it’s with the area of a sign is 432…

A: Let the width of rectangle sign is x inches According to question , length is l=12x+6 Given area is…

Q: Find two positive numbers such that the sum of the first plus 7 times the second is 2,800 and their…

A: here also given that product is maximum. let; The first number is =x and second number= y According…

Q: Emma invested $630$630 in an account in the year 1997, and the value has been growing exponentially…

A: for growing exponentially

Q: ln(x+2)=7

A: We have to solve for x

Q: A 25-year old woman burns 300 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: If a Paramecium is about 390 micrometers long, how many centimeters is it? Express in real numbers…

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Q: Integrate 8. dp- X+9

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Q: ー Hx %3D

A: 9x2 = 4x => 9x2 - 4x = 0 => x(9x - 4) = 0

Q: solve for x. 2 over 13 +x =8

A: To find the value of x , satisfying the given equation

Q: the half-life of silicone-32 is 710 year if 40grams is present now  how much present in 900 years

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Q: Accidentally, a dog has taken in excess vitamins. The usual amount of vitamins in the dog's body is…

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Q: A couple paid 30000 dollars for a house forty years ago. Today, they sold the housefor 250000…

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Q: The initial population of Sim City is 103 residents, and it grows with a doubling time of 2 hours.…

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Q: Solve ln(3x+2)−ln(10)=ln(5)

A: Given that       ln(3x + 2) - ln(10) = ln(5)

Q: Explain the concept of integration and give a real life example.

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Q: solve for x   ln(x)=.0807

A: We want  to free up x from natural  log. So take exponential  on both side.

Q: Find the doubling time for a city whose population is growing by 23% per year. pling time is years.

A: To find the doubling time for a city whose population is growing by 23% per year.

Q: AMPZ IS NOW FOUR TIME AS OLD AS BUYCZ IN FIVE YEARS, AMPZ WILL BE THREE TIMES AS OLD AS BUYCZ. FIND…

A: It is given that, AMPZ IS NOW FOUR TIME AS OLD AS BUYCZ IN FIVE YEARS, AMPZ WILL BE THREE TIMES AS…

Q: -8 ventex= X -int=

A: The given quadratic function,   f(x)=2x2+6x-8

Q: help thanks

A: A = 2dbmultiplying b both side :Ab = 2db×bAb = 2ddividing by 2 in both sides :Ab2 = d

Q: A 25-year old woman burns 250−60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A bacteria culture doubles every 15 days. If the initial population of the bacteria was 25, what is…

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Q: Proctice Completina th 2x716x+9=| ニ1

A: Given that: x2+6x+9=1

Q: About how many seconds would it take to breathe one billion times if you were breathing at a rate of…

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Q: A bacteria culture contains 1500 bacteria and doubles every half hour. What is the size of the…

A: Given that: Given that: A bacteria culture contains 1500 bacteria and doubles every half hour.…

Q: An initial investment of $6000 grows at 5% per year. What function represents the value of the…

A: Given that initial investment made = $6000 It is said that the investment grows 5% per year. This is…

Q: An accidental spill of 65 grams of radioactive material in a local stream has led to the presence of…

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Q: Find three positive numbers whose sum is 63 and such that their product is as large as possible.…

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Q: A principal of Php 12000 is deposited in a 7% account and compounded continuously. At the same time…

A: Solving the problem by finding the value of the time in years.

Q: SeC secfe de

A: The given integral is: I=∫24 sec-2θ dθ

Q: A worker's salary starts at £25000 per annum and increases by £2500 every year. How long does she…

A: The initial salary of the worker is £25,000 per annum. Her salary increases by £2500 every year.…

Q: Find the total accumulated amoun

A: Given: Invested amount = $6500 Interest rate = 5 %

Q: A 25-year old woman burns 300 – 40t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: A 25-year old woman burns 250−50tt cal/hr while walking on her treadmill. Her caloric intake from…

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Q: Solve for x 2ln (x-5)= ln (x+7)+ln6

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Q: Solve exactly:  6 ln(x) = 5

A: