1. Predict y when x = 4 for each of the following: a) ŷ = 1.2 + 0.8x b) logŷ = 1.2 + 0.8x = 1.2 + 0.8x (+) 8:0+ 2:1=6

Q: 4. Solve each equation for z. log,(r-6)- log, r = 1

A:

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: 4. Find the domain of the log function. y = In((7 – x)(x + 10)) Use a sign chart.

A:

Q: log10y+3log102=5 express y in terms of x

A: Consider the expression  log10y+3log102=5

Q: 2. Evaluate each of the following. Show all steps/work. b) y = log6 216 a) y = log, 243

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Q: Isolate x in the following equation: log5 x + log3 x = 4

A: Defination of exponential and logarithmic function -: For a positive real number x , y=logax if and…

Q: %3D V6x = V5x + V5. find the value of x and give the answer in the formp +v9. (b) Diberi loge p-log,…

A:

Q: a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

A: Given, a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

Q: B. Use the properties of logarithm to express the following as a single logarithm. 6. log m + log n…

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Q: n: log, 4 = x

A:

Q: Which of the following represents an exponential function: A. y=mx+b OB. y=b, b>0 and b#1 OC.…

A: Exponential function:- A function which is defined as a constant raise to power variable is known is…

Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: Solve. a) log(x+ 3) + log(x – 2) = log(3x+2) b) 6**3 - 6* = 215 %3D

A:

Q: Select the correct graph for the given function y = 5+log(x+2) > 10 6 ++ 2 -10 -8 -6 -4 -2, 4 6 8 10…

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Q: Log(1 – iV3)² = a. 2Log(1 – iv3) b. Log(1+ iV3) c. 2Log(1 + iV3) с. d. None of these

A: Given: Log1-i32

Q: Determine the points of intersection of the graphs of y = log(x + 4) and y = 3x + 2 with coordinates…

A: Here we have to find the point of intersection

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.