The pH scale was designed to make it convenient to express hydrogen ion concentrations that are small in aqueous solutions. The definiton of pH is in terms of base 10 logarithms. pH = – log [H*] where [H*] is the hydrogen ion concentration. a. If the hydrogen ion concentration in a solution is 3.49 × 10-3 mol/L, the pH is b. If the pH of a solution is 3.688, the hydrogen ion concentration is mol/L.

Q: Condense the expression 3 ln x + 2 ln(x + 1) to the logarithm of a single quantity.

A: The logarithms have the following properties. Given logarithm expression:

Q: Express the given quantity as a single logarithm.  ln ( a+b)  +  ln (a- b) - 2 ln c

A:

Q: The pH scale was designed to make it convenient to express hydrogen ion concentrations that are…

A: Simply substitute the given value in the formula and simplify.

Q: Condense the expression log3 13 + log3 y to the logarithm of a single quantity.

A: According to the logarithmic formula , .

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Q: Condense the expression log3 5x − 4 log3 x to the logarithm of a single quantity.

A:

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: In the given question as follows,, write the expression as a logarithm of a single quantity:-   4 ln…

A: Here given expression  4 ln 2-12lnx3+6x

Q: Condense the expression to the logarithm of a single quantity. ln x − [ln(x + 1) + ln(x − 1)]

A:

Q: Graph the logarithmic function. N= -0.4 log 16V

A:

Q: If log(7)x=0.4680​, determine the following.     log(7)x^2

A: Given:       To determine:

Q: Condense the expression to the logarithm of a single quantity. [3 In(x + 5) + In(x) – In(x3 - 1)] 2

A: The given expression,        123 lnx+5+lnx-lnx3-1

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Q: Express as a single logarithm and if possible simplify

A: We have given the expression

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Q: Condense the expression to the logarithm of a single quantity. 2 In(8) - 4 In(z - 6)

A:

Q: In the given question as follows,, write the expression as a logarithm of a single quantity:-   ln(x…

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Q: Find the exact value of the logarithmic expression without using a calculator. ln (1/square root of…

A: Please see the explanation below

Q: 7 In Ve

A:

Q: Condense the expression to the logarithm of a single quantity. [9 In(x + 4) + In(x) – In(xº – 8)]

A:

Q: The pH scale was designed to make it convenient to express hydrogen ion concentration: that are…

A:

Q: Use log, 20.335, log, 30.593, and log, 50.778 to approximate the value of the given logarithm to 3…

A: On solving this we will get

Q: Condense the expression to the logarithm of a single quantity In x - [In(x 1) In(x - 1)1

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Q: 2x-1 = 3x

A:

Q: Condense the expression to the logarithm of a single quantity. 3 log3(x) +log3(y) - 8 log3(z) X

A:

Q: The change-of-base formula is often used to convert a logarithm to a ratio of logarithms with base…

A: The change of the base formula is often used to convert a logarithm to a ratio of logarithm with…

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Q: express as difference of logarithms log r/s

A:

Q: Approximate x to three significant figures.

A: we have  log x=4.9680 We have to approximate x to three significant figures,

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A:

Q: Calculate the given natural logarithm without using your calculator ln(e10000)

A:

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

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A: Given: x log d-log g

Q: Condense to a single logarithm with a leading coefficient of 1. -logb

A:

Q: Condense the expression to the logarithm of a single quantity. log7(z - 6)

A:

Q: The pH scale was designed to make it convenient to express hydrogen ion concentrations that are…

A:

Q: Find the hydrogen concentration of tomatoes If Its pH Is 4.5. (Hint: pH =- log H*])

A: find the concentration oh hydrogen by using the apply logarithm property

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A: We first graph y=log x

Q: ‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ Condense the expression to the logarithm of a single quantity. - log,(z - 6)

A: Solved below

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Q: Find x and express your answer in terms of natural logarithms. e 3X = 6

A:

Q: Calculate the given natural logarithm without using your calculator ln(1)

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A:

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Q: Condense the logarithmic expression. 2 In 5 + 2 In x – In y=||

A:

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A:

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A:

Q: Express the ratios in as ratios of natural logarithmsand simplify. loga b/logb a

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