Logarithm equations with fractions and how do I simplify a whole # with a fraction exponent

Q: S ye-y dy

A: ∫y e-y2 dy Put, y2=t⇒2y=dtdy⇒2y dy=dt⇒y dy=dt2

Q: S(1 – 2etanx) sec²xdx

A: The given integral is ∫1-2etanxsec2xdx

Q: SEE ATTACHED

A: Consider the given exponential equation:

Q: 4 (1+2lnx)* dx

A:

Q: %3D variable expressions represent positive real numbers. Write logarit as a single logarithm with…

A:

Q: Solving Logarithmic EquationsSolve:(a) log3 14x - 72 = 2 (b) logx64 = 2

A: (a). Given logarithmic equation log314x-72=2. We know that if logax=n then x=an. Using the above…

Q: log y Explain how to solve 5% -2 = 8 using the change of base formula log, y = log b Include the…

A:

Q: Expand: 5x3 1.) In

A: log(ab)=log(a)-log(b)log(ab)=log(a)+log(b)log(am)=m×log(a)   (By our guidelines, we have to do only…

Q: ms image

A: Here we have to solve,

Q: see attached

A: Obtain the value of x as follows:

Q: 7. Logarithmic and exponential equations A bacteria colony grows 75% in 3 hours. Now it is 100g. How…

A: A bacteria colony grows 75% in 3 hours. Now it is 100g. To find how much large it was 2 hours ago…

Q: squation in form. exponential logarithmic 322/5 = 4

A:

Q: equation in form. Use the definition of a logarithmice function to rewrite the equation in…

A: Convert logarithmic function to exponential function

Q: how do i use the properties of logarithms to expand each logarithm as much as possible , step by…

A: Expansion of logarithm using the properties.

Q: Solve for x: 15(1.14") = 20(1.09")

A: To find the value of x 15(1.14x)=20(1.09x)

Q: Logarithims and Exponential Functions

A:

Q: Solving Exponential Equations Solve the Exponential Equation 12.9(1.038)" = 170 by following the…

A:

Q: 1. What have you noticed in the transformation from exponential equation to logarithmic equation? 2.…

A: a) what have you noticed in the transformation from exponential equation to logarithmic equation?…

Q: Logarithms: Explain what a logarithm is as if you were explaining it to a person who has never heard…

A:

Q: Explain the properties of natural and base exponential functions a. Give at least two examples that…

A: We have to explain the properties of natural and base exponential functions and give at least two…

Q: To find a logarithm of a number, two cases must be considered. Critically outline these cases in the…

A: Properties of logarithm: 1. logb xn =n logb x 2. logbx.y =logbx+logby 3. logbxy =logbx -logby 4.…

Q: log(sqrt x9 y-12 ) Using the properties of logarithms to expand the logarithm as much as possible.…

A: Given: logx9y-12   To find: Using the properties of logarithms to expand the logarithm as much as…

Q: Topic: Logarithmic and Exponential  functions  Simplify e2ln5…

A:

Q: Using laws of logarithms, write the expression below using sums and/or differences of logarithmic…

A: Note: ln(ab)=lna+lnb ln(a/b)=lna-lnb lnan=nlna

Q: see attachment

A: Given that the equation is

Q: log3 81, What is the value of Enter your answer in the box. log3 81 - %3D

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Q: 19 log9 x2 6.

A:

Q: see attachment

A: Apply log rule.

Q: Product Rule, Quotient Rule, Power Rule   Write a logarithmic expression that you can expand using…

A: From the given information, The product rule and power rule can be used as with logarithm…

Q: Logarithmic Equations Solve the logarithmic equation for x. 55. In x = 10 56. In(2 + x) = 1 57. logx…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: ns on. 2, log 2x2

A:

Q: see attachment

A: Consider the given information

Q: Tripling your money Determine how much time is required for an investment to triple in value if…

A: Let the initial amount= P So final amount= A=3P Interest rate= 5.75%= 0.0575 time=t=?

Q: true or false? explain log (2/3) = (log2)/(log3)

A: The given expression is: log23=log2log3 The given expression is true or false?

Q: csc² xdx 1+cotx

A: Consider the provided integral, ∫csc2x1+cotxdx Evaluate the following integral. Apply the…

Q: DISCUSS: The Height of the Graph of a Logarithmic Function Suppose that the graph of y = 2" is drawn…

A: Given: The graph of y=2x is drawn on a coordinate plane where the unit of measurement is an inch. To…

Q: Apply models of situations related to business administration using linear, polynomial, exponential…

A: Given information P=$5,200 A=$25,000 Rate of interest r=9% ⇒r=9100=0.09 We have to find the value of…

Q: DISCUSS DISCOVER: A Surprising Equation Take loga- rithms to show that the equation x/logx = 5 has…

A: We have given equation x1log x=5 By taking logarithms of both sides, log10x1log…

Q: see attached

A: To express the given quantity as the logarithm of a single expression

Q: owing examples of power formula, exponential function, and logarithmic function.

A: Given that : The integral is ∫ 2 cos 4y  - 112 . sin 4y dy .

Q: application of exponential equations

A: according to given problem Principal is $11000 rate of interest 4%

Q: exponential equation representing this situation. Use t to represent Preview earest whole number,…

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Q: Log-3 27

A:

Q: See attachment

A: Given that the principal of $3500 was invested at 4.75% interest, compounded annually.

Q: How do you solve exponential and logarithmic equations step by step- example of each to learn how to…

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Q: 5=log2M what is the equivalent exponential form of the equation

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Q: Converting exponential and logarithmic forms

A: The given equation can be converted to exponential and logarithmic and exponential forms as follows…

Q: Using laws of logarithms, write the expression below using sums and/or differences of logarithmic…

A: We have to find logarithms

Q: e3x dx 4+е3x

A: ∫e3x dx4+e3x Now put, 4+e3x=t⇒0+3e3x=dtdx⇒3e3x dx=dt⇒e3x dx=dt3

Q: I need help with understanding Laws of Logarithms and exponential functions

A: Laws of logarithms and exponential functions  first let’s see what are laws of logarithms and…