Use the product, quotient, and power rules of logarithms to rewrite the following expression as a single logarithm, assume that all variables represent positive real numbers: 7logm^y -3 logm^q^2 Please explain with steps, thank you.

Q: Use the Laws of Logarithms to expand the expression. 5 log2 9t2

A: Apply log rule:  logaxy=logax - logay

Q: Use the properties of logarithms to write the logarithm log3175 in terms of log35 and log37.

A: log3175

Q: 200

A:

Q: use exponent laws to explain why log 40 - log 5 is equivalent to 8

A: log 40 - log 5 Concept log (a)-log(b)=log(a/b)

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. log32 128

A:

Q: Use the special properties of logarithms to evaluate the following expression. 7log79

A: To evaluate

Q: Use properties of logarithms to expand the logarithmic expression log9(9x) as much as possible.…

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

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Change the logarithmic statement to an equivalent statement involving an exponent. log2 8 = 3

A: Given: Change the logarithmic statement to an equivalent statement involving an exponent.  log2 8 =…

Q: Use the Laws of Logarithms to combine the expression. log5(x2 - 1) - log5(x - 1)

A: log5(x2-1)-log5(x-1)

Q: Use the Laws of Logarithms to evaluate the expression.

A: Our Aim is to evaluate the expression given below:--13log3 27 -(i)

Q: Use logarithm properties to show how to rewrite the following expression

A: Let the given logarithmic terms be y - y = log25 + log87y = log25 + log7log8…

Q: Simplify by writing as a single logarithm: Show all steps clearly including use of 'logʻ rules.…

A: Given, log(2x²+7x+6)-log(x²-4)

Q: Change the logarithmic statement to an equivalent statement involving an exponent. log3 (1/9) = -2

A: Given logarithmic statement is log319=-2. To change the logarithmic statement to an equivalent…

Q: Use the Laws of Logarithms to expand the expression. log5 4st

A: log54st

Q: Use the properties of logarithms to write expression as a sum, difference, or product of simpler…

A: The logarithmic expression given is , ln2572. Simplify the logarithmic expression , using the…

Q: Use the properties of logarithms to write expression as a sum, difference, or product of simpler…

A:

Q: Change the logarithmic statement to an equivalent statement involving an exponent. log2 6 = x

A: The exponent of a number says how many times to use the number in a multiplication and the logarithm…

Q: Evaluate the expression without using a calculator. log8 6 - log8 3 + log8 2

A: To evaluate: The expression log86-log83+log82. Concept used: Logarithmic product rule: logab=log…

Q: Use properties of logarithms to expand the logarithmic expression log9(9x) as much as possible.…

A: Solution -    Let the give function be - f(x) -  f(x)=log9(9x)  Using a logarithmic property -…

Q: Use the Laws of Logarithms to evaluate the expression 3125

A:

Q: Use the power rule to expand the logarithmic expression: log5 74

A: Given that log5 74 We need to expand the logarithmic expression using power rule.

Q: Evaluate the expression without using a calculator : log749

A: Given : log749

Q: Use the Power Property of Logarithms to expand. Simplify if possible. (Assume the variable is…

A: log8(x3)=?

Q: Use the Laws of Logarithms to expand the expression.

A: To expand given expression following properties of logarithms will be used. The exponent property…

Q: Use the Laws of logarithms to rewrite the expression 3 (212. √/y13 in a form with no logarithm of a…

A:

Q: Use the Laws of Logarithms to expand the expression Зx9 log3

A: The given logarithmic expression is,

Q: Use the Laws of logarithms to rewrite the expression log, ( x11. y14 in a form with no logarithm of…

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Q: Use the Change of Base Formula to rewrite the logarithm with the common logarithm or the natural…

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Q: Use the Laws of Logarithms to evaluate the expression. (+9)'5이 들-

A: We can make it easier for you

Q: Change the logarithmic statement to an equivalent statement involving an exponent. logb 4 = 2

A: We have to change the given logarithmic statement to an equivalent statement involving an exponent:…

Q: Write the logarithmic expression in expanded form. log (즐)

A: Given,          logx3

Q: Use the Laws of Logarithms to evaluate the expression. 3125

A: Consider the logarithms expression: log513125

Q: Use the Laws of Logarithms to expand the expression. logVx2 +

A: We have to expand

Q: Use the properties of logarithms to rewrite the expression as a sum, difference, or multiple of…

A: As we know that: The logarithmic property: 1). lnab=lna-lnb 2). ln1=0 3). lna·b=lna+lnb Given: ln16

Q: Use the Laws of Logarithms to expand the expression. 7x2 log4

A:

Q: Use the properties of logarithms to simplify the expression. 2lo92(17)

A:

Q: use the definition of common and natural logarithms to simplify  log(100^7)

A:

Q: Change the logarithmic statement to an equivalent statement involving an exponent. log3 2 = x

A: log32=x

Q: Use the Laws of Logarithms to expand the expression. 3x7 log3 y

A:

Q: Use properties of logarithms to simplify. 2. log, 3.2 – log, 0.025

A: Logarithms are inverse of exponential functions because logaax=x. So any logarithmic equation can be…

Q: Use the quotient rule to expand the logarithmic expression: log7(19/x)

A: Given logarithmic expression is log719x. Quotient  rule of logarithm states that: logmn=logm-logn…

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

A: log(a) + log(b) = log(a×b)

Q: Use the product rule to expand the logarithmic expression: log4(7 . 5)

A: We have to expand the logarithmic expression log47.5 by using the product rule.

Q: Use the product rule to expand the logarithmic expression: log6 (7 . 11)

A: we have to use the product rule of logarithm to expand the logarithmic expression. log6 (7 . 11)