Convert 6x = y to an equivalent statement involving a logarithm.

Q: Change the exponential statement to an equivalent statement involving a logarithm. a3 =2.1

A: It is known that exponential functions and logarithmic functions are inverse functions. So, this…

Q: Change this exponential statement into a equivalent statement involving a logarithm: a2=1.6

A: Calculation:The exponential statement is a² = 1.6.Multiply both sides by the logarithm base a to the…

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

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Q: Convert to a logarithmic equation.

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Q: Condense the expression to the logarithm of a single quantity. [log,(x + 1) + 3 log,(x – 1)] + 9…

A: Logarithm property

Q: Condense the expression log2 y − log2 3 to the logarithm of a single quantity.

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

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Q: Condense the expression to the logarithm of a single quantity. -2 log6 3x

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Q: Write as a Logarithmic expression: y = e-x

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Q: Convert each logarithmic form into exponential equation. log, (x) = 2

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Q: Rewrite as a logarithmic equation. Ey = 5

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Q: b) 좋(log(교y) - log(zy?))

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Q: 2 In x - In y + 1 5

A: we know that logarithmic properties :  1 ). ln ( a • b ) =ln ( a ) + ln ( b )  2 )  ln ( a n ) = n…

Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm.

Q: Condense Conden se into a single logarithm. 4) 6log § x – 31og § y 4.

A: Given 6log8x-3log8y

Q: . Graph the functions by changing to exponential form.a. y = log3x         b. y = log5x

A: a) y=log3xb) y=log5x

Q: Condense the expression to a single logarithm using the properties of logarithms. log(x) -…

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Convert to a logarithm to solve. %3D

A: Given, 3x= 1/3

Q: Condense the expression to a single logarithm

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

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Q: If e-x = 3.2, write x in terms of the natural logarithm.

A: Given e-x=3.2

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

A: here given as

Q: For Exercise, simplify the logarithmic expression without using a calculator. log2 64

A: Given :Log2164

Q: x log d- log g

A: Given: x log d-log g

Q: Rewrite y = 96(0.38)* in terms of base e. Express the answer in terms of a natural logarithm and…

A: Solution:Given    y=96(0.38)x  To express in natural logarithm.

Q: .Condense the logarithmic expres 3 log5 3x + 2log5 (x - 2)

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Q: Convert to a logarithmic equation. e -3 = t

A: Given : e-3 = t

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

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Q: Condense the logarithm off - 31n(4x) expression to the single quantity.

A: We have to find the simple form

Q: Write as sum and difference of simpler logarithms. 1. In *(r-2)s V3x-4

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Q: Change the logarithmic statement to an equivalent statement involving an exponent. loga 3 = 6

A: Given logarithmic statement loga 3 = 6

Q: Rewrite the equation y = 1000(7.3)x in terms of base e.Express the answer in terms of a natural…

A: Definition used -             Exponential growth equation -                            P(x)= P0ekx…

Q: Condense the expression to the logarithm -5 log, 3x -log(243x ")

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Q: Condense the expression to the logarithm of a single quantity. -2 In(5x)

A: In the question it is asked to calculate logarithm of a single quantity given below. -2ln(5x)

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

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Q: The final answer is written as a single logarithm.   7log(x)−8log(y)+2log(z)=

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Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. 1)…

A: I have stated the used formulas in the right side of the solution

Q: Write the logarithmic expression as a single logarithm with coefficient 1,

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Q: Write the following equation in its equivalent logarithmic form. 13 x

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Q: Convert to exponential form: log = y : 10 ||

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Q: The following logarithmic expression, log2 (4), when completely simplified becomes

A: Given, log2 4x

Q: Solve the logarithmic equation: log, (x + 1) + log, (x – 1) = 2. Round to the nearest tenth if…

A: Given logarithmic equation is log5x+1+log5x-1=2

Q: Condense the expression into the logarithm of a single quantity.

A: Given7[8ln(x)-ln(x+7)-ln(x-7)]where x>7

Q: Condense the expression to the logarithm of a single quantity. -3 In(4x)

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Q: Rewrite the equation in logarithmic - 2 т log a B = C with A = B = C = ||

A: If ac=c then we write it logab=c

Q: Change the exponential statement to an equivalent statement involving a logarithm. 2x = 7.2

A: Given exponential function - 2x = 7.2Taking logarithm on both sides - log2x = log7.2xlog2 = log7.2…

Q: Rewrite the equation y = 1000(7.3)x in terms of base e. Express the answer in terms of a natural…

A: Consider the provided equation, y=10007.3x Express the answer in terms of a natural logarithm in…