The [H*] of a solution can be determined from the pH using the equation: [H*] = 10- DH Where: [H*] = hydrogen ion concentration Use the rules for logarithms and exponents to solve for pH in terms of (H*]. NOTE: Capitalization counts. pH =

Q: The Inverse Properties of logarithms state that logaax = x and ________.

A: The logarithmic function is a function of one variable associated with a specified base, such that…

Q: What is the decibel level of the noise from a motorcycle with intensity 10−2 watts per square inch?…

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Q: Use the properties of logarithms to expand the logarithmic expression.

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Q: Find the value of x in the logarithmic equation

A: Given, 1) log24x +log29=log2722) log381=x3)log2(2x+1)<3

Q: Use common logarithms to solve the equation for x in terms of y.

A: Consider the given function as y=110x+10-x

Q: The graph of the logarithmic function y = log, x can be described as

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Q: Assume you invest $10,000 in a mutual fund (e.g. money market fund) at an APR of 7% compounded…

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Q: solve for x by converting the logarithmic equation to exponential form  log36(x)=1/2 x=

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Q: Which function will have the fastest decrease in they-values?A. y = -1/3 logx 8. y =-2 logxC. y…

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Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: The number of lemurs in a wildlife preserve can be modelled by the logarithmic function y = 300 – 37…

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Q: express the numbers in terms of natural logarithms. tanh-1 (-1/2)

A: We will use the formula

Q: Use the properties of logarithms to write the expression as a single logarithm. In(x) – In(y)

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Q: Write ln 5 + 2 ln 3 as a single logarithm.

A:

Q: 2. Why is it not necessary to know the value of "a" to determine the value of loga(-1)?

A: Given logarithm, loga(-1)

Q: The Logarithms Of The Quotient And The Product Of Two Numbers Are 0.352182518 And 1.556302501,…

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Q: Find the exact value of each expression without using a calculator by using properties of…

A: Required properties of logarithm: logam-logan=logamn logaab=b logab=logbloga

Q: Can a negative number belong to the solution set of a logarithmic equation?

A: Given statement : Can a negative number belong to the solution set of a logarithmic equation?…

Q: Between which two consecutive integers is the value of the common logarithm of 100,000,421?

A: 100,000,421 is between 100,000,000 and 1,000,000,000.…

Q: Express sinh-1 x in terms of logarithms.

A: Let  y=sinh-1x⇒x=sinhy

Q: Solve the logarithmic equation for x. 4 - log(3 - x) = 3

A: Our Aim is to solve the logarithmic equation for x.4-log(3-x)=3 -(i)

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: We need to find log value.

Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

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Q: =xpress the number sinh in terms of natural logarithms- 84 -

A: Given: sinh-1-1384

Q: Express in terms of logarithms without exponents. logb(x3y9z) What is the equivalent expression?…

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Q: Use logarithmic properties to write in simpler form. In xy In xy =

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Q: Write 5 ln x + 3 ln (x² + 4) – , In (x + 8) single logarithm. as a - -

A: The logarithmic expression is given by 5ln(x) + 3lnx2+4 - 12lnx+8

Q: Write the equation in logarithmic form. = In(x), find fie). Simplify your answer completely

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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: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…

A: We can solve this as follows:

Q: It is estimated that 20% of a certan radioactive substance sbrays in 30 hours. What is the half-life…

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Q: Completely condense the expression to the logarithm of a single quantity. 7 ln(x)-ln(x+7)+5 ln(y)

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Q: Write the expression as a logarithm of a single quantity.

A: Given: Let y=2ln x-lnx+1-lnx-1 To Find: To write the given expression as a logarithm of a single…

Q: = log,25 -x=

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Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

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Q: Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

A:

Q: How is loga x defined?

A: The logarithmic function y=logax is defined to be equivalent to the exponential equation x=ay. Here,…

Q: logx =1,000,000x

A: Given the equation  we need to solve the above equation.

Q: Write logarithmic equation in exponential form. log 0.001 = -3

A:

Q: What value of x makes the equation log, (2x + 1) + log,(x - 3) = 2 true? %3D

A: we need to find the value of x that satisfies the given equation

Q: Find the exact value of the logarithmic expression. log7343

A: Given : log7343

Q: Use the power rule to expand the logarithmic expression: ln 3√x

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Q: Differentiate. Solve using log properties. log2(e^xcos pi x)

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Q: Solve for æ: log(æ) + log(x + 1) : You may enter the exact value or round to 4 decimal places.

A: we will use property of loglog m +log n=log(mn)

Q: Select the pair below which shows the correct conversion from logarithmic form to exponential form.

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Q: How can I diffefentiate this logarithmically?

A: y= (sinx)x [Given] log (y) = log (sinx)x

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A:

Q: The pH of a solution is given by the formula pH = - log H* , where H* is the concentration of…

A: TO CALCULATE 'pH' OF THE SOLUTION pH = -log[H+] [H+] = 3.05 * 10-9 moles/ litre

Q: Write logarithmic equation in exponential form.

A: