3) f(x) = 62x if x = 0.75 %3D

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 7√7

A: We first write the inner expression using an exponent.

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

A:

Q: You need  17,000i n your account  6 years from now and the interest rate is 8% per year, compounded…

A:

Q: Solve for x in the following equation: 4.7 = -log(1.76 E -5) + log (x / 0.16)

A: This question is based on properties of logarithm.

Q: Find a formula for the exponential function passing through the points and (2,36) 3. f(z) = |

A: We need to find the exponential function passing through given two points

Q: = Evaluate the exponential function below from x up to x = 5. ſ((5x¹+2x) (2x³ + 1))dx

A:

Q: log4(x + 9) = 3 %3D

A:

Q: Consider the following. 9X + 31 + 2x = 20 (a) Find the exact solution of the exponential equation in…

A:

Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

A:

Q: onvert to an exponential equation. ln 44 = 3.7842

A: ln(44)=3.7842

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: f(x + 1) f(x) 7. For an exponential function f(x) = Ca",

A: We have given fx=cax We have to find fx+1fx Then, fx+1fx=cax+1cax=cax.acax=a

Q: Solve the following equation for x. log2(9x + 6) = 3 + log2(x + 3)

A:

Q: Solve the following equation: 2 log x = log(6x + 27) O x= 3 O None of these O x= 9 X = -9

A: We will solve the equation and will find the value of x as following .

Q: а) Solve the following exponential equations: (i) 25*+2 = 53x-4 (ii) log x + log 2 = 1 | On March…

A: “Since you have asked multiple question, we will solve the first question for you. To get remaining…

Q: Find the solution of the exponential equation 15e^x−13=6 in terms of logarithms, or correct to four…

A: We have to solve

Q: Consider the following. 5x = 4x + 1 (a) Find the exact solution of the exponential equation in terms…

A:

Q: Solve for x accurate to three decimal places.

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

Q: Solve graphically with your calculator. Round answers to 2 decimal places. а.) 4* = VE b.) log r =…

A:

Q: D) log3 (x² – 5) = 2

A: To solve the equation for all real values of x log3(x2-5)=2

Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x –…

A: Brief answer is given below.

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: Place the following exponential equations into their correct categories. f(x) = 2x A. f(x) = (2*) В.…

A: We need to differentiate given equations in growth or decay equations.

Q: Solve the following exponential equation. Use a calculator to obtain a decimal approximation…

A: We have to find value of x

Q: Solve the equation accurate to three decimal places.

A: Solve the equation accurate to three decimal places.

Q: Consider the following. 23x = 37 (a) Find the exact solution of the exponential equation in terms of…

A:

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: Solve the following equations. log, (2.x – 3) = 3 4 In(3.x) = 8 log x = log(1-x)

A:

Q: How many y-intercepts does the exponential function f(x) = 1/2(5)x have?   am i correct that it…

A:

Q: Solve the following equation for X log(x+2) + log(x-1)= 1

A:

Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in…

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential…

Q: 9

A: We need to solve

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: For the exponential function f(x) = a%, where a> 1, is the function increasing or decreasing over…

A: The give exponential function is f(x) = ax, where a > 1

Q: Solve the following equation using the natural logarithm. Round answer to the nearest thousandth.…

A: Given that       2ln(3)+ln(x+6) = ln(90)

Q: Solve the following equation for x:  log(x+1) + log(x+3) = log (x+7)

A:

Q: Consider the following. 4x/12 = 0.9 E (a) Find the exact solution of the exponential equation in…

A: We have to solve

Q: Consider the following. 37x +1 = 7x- 3 (a) Find the exact solution of the exponential equation in…

A:

Q: Consider the following. el - 6x = 7 (a) Find the exact solution of the exponential equation in terms…

A:

Q: Is it possible for two exponential functions f(x) and g(x) to be equivalent if f(x) has a negative…

A:

Q: Consider the following. 4* + 21 + 2x = 40 (a) Find the exact solution of the exponential equation in…

A:

Q: Find simpler expressions for the quantities e-ln x2

A: e-lnx2

Q: Solve the following equations log(x + 6) – log(x – 3) = 1 10* = 12

A: logx+6-logx-3=1

Q: Consider the following. 1+ e2x + 1 = 15 (a) Find the exact solution of the exponential equation in…

A: Topic = Algebra

Q: i. Solve for x: a) 32x-5 = 27 b) log x = log 3 + 2 log 4 ii. If RM 400 is invested for 2…

A: here solve for x a) 32x-5 = 27      32x-5 = 33     here 27 = 33    so now     2x - 5 = 3…

Q: Find the x-intercept of the following exponential function by letting y equal zero and solving for…

A: To get x-intercept, we put y=0 and solve for x. Given y = 323x-24

Q: Please solve the following equations: (a) ln(25(1.05)x)=6 (b) log(1 − x) − log(1 + x)=2

A: Part (a)

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.