3: A house on a map is measured at 1 inch. Our Zoom feature makes it 50% bigger with each click. With the exponential formula. f(x) = 1(1.50) How big is the house after 5 clicks? Approximately what number of clicks would get you to 1.5 ft in size?

Q: Solve for x. Give your answer as an integer or reduced fraction. log, (æ*) + log; (Va) = 10

A: First, we write using exponents and then the exponents become coefficients.

Q: scientist finds that an intial bacteria count was 45 million and 5 hours later, the count was up to…

A: Please refer to the image below

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A:

Q: The population of Gibsonville in the year 1930 was 3100. Assume the population increased at the rate…

A:

Q: When a piece of paper has zero folds it has one rectangle. When folded in half once it has two…

A: Let x denote the number of folds and y denote the number of rectangles.Given that when there is no…

Q: The following graph shows the amount of power obtained from wind power in years since 2000. Use the…

A: Given that x= number of years since 2000 So, In 2025, x= 2025-2000=25

Q: Solve for x: log, 4 + log, (x + 4) = 3 %3D

A:

Q: Solve. log 216 =x

A: Given,           log216=x

Q: Solve. log, (t) = 4 %3D

A: To solve:log6t=4

Q: Solve for x, rounding to three places, if necessary: A. log, 27 = B. log, 2.9 = 3 C. e2x = 5

A: here we need to solve the logrithmic functions. the solution is following.

Q: Graph the following exponential function. Make a table of values and label the equation on the…

A: y=2·3x                           at x=0,     y=2·30 = 2at x=1,…

Q: The speed of light is 2.9979 × 108 m/sec. Approximate log (2.9979 × 108). log (2.9979 × 108) ~ 3

A: We need to approximate log2.9979×108.Log formula: logMN=logM+logN ; logxn=nlogx

Q: Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases…

A: Given: Depth after 1 hour is 64 feet and depth after 4 hour is 28 feet.

Q: Solve. (a) log, 0.04 : -2 (b) log, (2x – 4) = log, 36 %3D

A:

Q: (logser log) %3D 2. the value of + Then fin of

A:

Q: 6. For the exponential function given below: f(x) = -2x-1 +4

A:

Q: Write the equation for the function: (3, 8) -8 6 2 (0.1) 2.

A:

Q: There is a double log function, what will "a" and "b" equal if the function is a line with a slope…

A: Explanation:Here given the log function a and b if the function line with a slope of 2  For this…

Q: Write the equation for the function: 25 (0, 20) 20 15 10 (1.2) -5 5. 10 15

A:

Q: The pH of a solution is given by the formula pH = −0.4343 In a, where a is the activity of hydrogen…

A:

Q: Find the exponential equation whose graph passes through the points (-2,) and (3,250) 25 y =

A: The exponential equation whose graph passes through the points -2,225 and (3,250).

Q: Log

A:

Q: In 2019, the US population was 328.2 million. In 2000, the US population was 282.2 million. Find the…

A: Initial condition they are given  In 2000 the US population was 282.2 million t=0 and P=282.2…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.