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

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: Condense to a single logarithm with a leading coefficient of 1. logb(45) − logb(5)

A: For same base and for subtraction of logs, the numbers inside log divides.In this problem a=45 and…

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: Change the exponential statement to an equivalent statement involving a logarithm. 3x = 4.6

A: The given equation is 3x=4.6

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

A: According to the logarithmic formula , .

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: Condense the expression to the logarithm of a single quantity. 4 log (x) log4(y) - 3 log4(z)

A: Given query is to compress the logarithmic expression.

Q: Evaluate the expression without using a calculator. log2 1/2 =

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

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Q: Express as a sum of logarithms. log 9(18• 12)

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Q: Use the Laws of Logarithms to combine the expression. 4 log(x) – 6 log(x + 1)

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Q: Condense the expression to the logarithm of a single quantity. log7(9x) - 2 log7(x)

A: Given log7(9x)-2log7(x)

Q: Combine into a singel logarithm log(x-3)+log(x+3)-1/2log(x^2+9)

A: Given logarithm is  log(x-3)+log(x+3)-1/2log(x^2+9)

Q: Write this expression as a single simplified logarithm: log4(x2 - 1) - 5 log4(x + 1)

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

A: The given logarithmic expression is,

Q: Evaluate the expression without using a calculator. log8 1

A: We have to evaluate the expression: log81 We know the properties of logarithm, logaa=1loga1=0

Q: Use the Laws of Logarithms to expand the expression. 5x2 log2 y3

A:

Q: Condense the expression to the logarithm of a single quantity 1/2 [log 4 ( x +1) +2log 4 ( x −1)]…

A: Given,

Q: Evaluate the expression without using a calculator: log2 1/√2

A: Consider the expression as k=log212

Q: Evaluate the expression without using a calculator. log7 1

A: To evaluate: log71 Solution: We know that logba=logalogb Therefore, given expression can be written…

Q: Use the Laws of Logarithms to combine the expression. 4 log(x) – 8 log(x + 1)

A:

Q: Express as a single logarithm and, if possible, simplify. log (x? + 3x-4) - log (x2 - 16) log (x…

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

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Q: Use the properties of logarithms to expand log 8x³ (x – 2)*. 3

A: Given: log8 x3x-24

Q: Condense the expression to the logarithm of a single quantity. (log3(x - + 1) + 2 log3(x – 1)] + 6…

A: Let's find.

Q: condense to a single logarithm: 2log4c + log4a / 2

A: We have to solve given expression for single logarithm.

Q: Condense the expression to the logarithm of a single quantity. 5 In(2) – 9 In(z - 3)

A: use logarithm identity:-                (i)  nln(m) = ln(m)n                (ii)  ln(m)-ln(n) = lnmn

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

A:

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

A: y = 8 lnz + ln(z+9) - 4 ln(z-9) .       (say) we know that      log a+ log b = log(ab)…

Q: Use the properties of logarithms to condense the expression to a single logarithm. 2 log (x) + 5 log…

A: Given : 2logx + 5logx+3

Q: [4 In(x + 8) + In(x) – In(x* - 9)]

A:

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

A: Given,

Q: Choose the logarithmic form of the exponential equation 4° = (5x +4). O log, (5æ + 4) = 9 O log, (5x…

A:

Q: Condense the expression to the logarithm of a single quantity.                   1/4[log7…

A: The expression 14log7t+3log71-t-log7(7+t), we have to condense this expression to the logarithm of a…

Q: Condense the expression to the logarithm of a single quantity. 6 In(2) – 3 In(z - 9)

A: Logarithmic Rules: logbMk=k logbM logbMN=logbM-logbN   6 log2-3logz-9 = log26-log(z-9)3 6…

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: Evaluate the expression without using a calculator: log5 1/5

A: Given: The expression log515 To find: The value of the given expression.

Q: Use logarithmic properties to expand the expression as much as possible:  log6(3√x / 36y4)

A: Use logarithmic properties to expand the expression as much as possible:  log6(3√x / 36y4) .

Q: Condense the expression to the logarithm of a single quantity. 1/2[4 ln(x + 7) + ln(x) − ln(x4 −…

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Q: Condense the expression to the logarithm of a single quantity. [9 In(x + 5) + In(x) – In(x° – 4)] 2

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Q: What is the base of the logarithm in the expression log(x+7)−5

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Q: Write the expression as a logarithm of a single expression.   log 9 + log 20 - log 4= log?

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Q: Condense the expression to the logarithm of a single quantity. 1 -[8 In(x + 2) + In(x) – In(x8 – 5)]…

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

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Q: Write the logarithm in expanded form. log3((x2y)4)

A: Given information

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…