Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. log: (64x³) Answer E Keypad Keyboard Shortcuts O+ log

Q: Use the definition of logarithm to simplify each expression. log 10n

A: From definition of logarithmlogb(ba)=a

Q: Evaluate the expression without using a calculator: log6√6

A: Logarithmic properties: logk(k) = 1 logn(n) = 1 log(xn) = n*log(x)

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: Use the properties of logarithms to condense each expression to a single logarithm

A: Consider the given expression.

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

A: The given equation is 3x=4.6

Q: For Exercise, simplify the expression without using a calculator. loga 16

A:

Q: Simplify the following expression. Write as a single logarithm or monomial. Inx- In x' + Inx° 7. . 9

A: Given that We have to simplified lnx-lnx7+lnx9 We know that lnxm=mlnx so in our case  lnx7=7lnx…

Q: Evaluate the expression without using a calculator. log 2 ( log 33)

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Q: Evaluate the expression without using a calculator log2 1/8

A: We need to evaluate log218without using a calculator.

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

A: see below the answer and the required properties of logarithm is mention in the respective place in…

Q: log, t3g

A: given log5(x3y2t3g)

Q: Use the properties of logarithms to expand Log4 5x2 (x+8).

A: The objective is to use the properties of logarithms to expand log45x2x+8

Q: For Exercise, evaluate the logarithmic expression without using a calculator. 10log(a² +b°)

A:

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

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

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Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Evaluate the expression without using a calculator. log2 128

A: To evaluatelog2128

Q: . Use the change-of-base formula to write (log, 5)(logs 9) as a single logarithm.

A: For natural logarithms the base is e. This is the most commonly used base for logarithm. Another…

Q: Simplify the expression without using a calculator. log0.00001 =

A: This question is based on properties of logarithm.

Q: Use the laws of logarithms to expand and simplify the expression. log(x(x2 + 4)−1/2)

A: The given expression is;

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 properties of logarithmic to expand the following expression as much as possible. Simplify…

A: Some properties of logarithm are: multiplication property: log (x y) = log x + log y division…

Q: Evaluate the expression without using a calculator. log3 81

A: Given: log381

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

A: here given as

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

A:

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

A: Given :Log2164

Q: Write the expression as one logarithm .

A:

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

A: We have expression 1312ln(x-5)+lnx-lnx3     We have to write the logarithmic expression as a…

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

A: Given: log8 x3x-24

Q: Evaluate the expression without using a calculator. log4 8

A:

Q: Write the expression as a single logarithm: x - [ log x + log( x² + 1) + log( x* + 2)]

A:

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

A:

Q: Evaluate using the change of base formula (without a calculator).

A: To calculate the given equation

Q: Evaluate the expression without using a calculator. log 2 (log 55)

A:

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

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Q: Use the properties of logarithms to expand the following expression. log

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Q: Evaluate each logarithm without using a calculator. log2 1/16

A: We have to calculate the given logarithms without using calculator. We will use here following…

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

A: Use the log of power formula to simplify the expression as follows.

Q: Write the expression as a logarithm: 2log2(x-3) + log2(2x+3)

A: Simplify the logarithmic expression as follows.

Q: Use the Lavws of Logarithms to evaluate the expression. log;(V2)

A:

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 the definition of logarithm to simplify each expression. (a)     logb b (b)     logb b9…

A: (a)     logb b=1

Q: Evaluate the expression without using a calculator: log55

A: Given expression: log55 Recall the expression for base change formula logab=logcblogca Here, a=5,…

Q: Use the properties of logarithms to rewrite the expression as 3 separate logarithms: log3 4V5

A: We will write the expression as 3 separate logarithms as following.

Q: Change the logarithmic expression to an equivalent exponent expression Log 216 = b

A:

Q: Evaluate the expression without using a calculator: log64 8

A: The expression given is log64 8. Apply the logarithmic property, logba=xa=bx For the expression…

Q: Simplify the following expression. Write as a single logarithm or monomial. e In x8 + 6 In y In x8…

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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: 2 log, (m) + 3 log, (п)

A: