Explain why limit exists or does not exist. (z-2)(z-2) lim log1/3 \sin((2z+ 1)(z-2)) Z→+2

Q: Assume that x,y,z and b(b)!=(1) are positive numbers. Use the properties of logarithms to write the…

A: The given logarithm expression -3logbx-2logby+12logbz. We have to rewrite the given expression.

Q: Condense the expression to a single logarithm. 3log_(7)u.

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Q: 2015 3 1.log bvc b√c

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Q: Identify if the given statement is a logarithmic function, logarithmic equation or logarithmic…

A: We identify the given statement is a logarithmic function, logarithmic equation or logarithmic…

Q: Vrite the expression as a single I log_(d)x+log_(d)y-log_(d)t hoose the correct answer..

A: The given expression is logdx +logdy-logdt. We use the following two properties of logarithms here.…

Q: Q1) Which rule of logarithms is illustrated by the following equation?…

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Q: Use the definition of logarithm to find the missing value. log_(4)256=x

A: Given that log_(4)256=x. As we know from the definition of log: If a^b=c then we say log_a(c)=b.

Q: prove why it is always true that b ^ logb⁡ (x) = x.

A: We need to prove theorem.

Q: If e^x = 3/10, what is the approximate value of x?

A: TO FIND 'X' GIVEN-  ex =310 BY USING NATURAL LOG USE - lne =1            lnmn= n lnm

Q: a number only, round to the nearest tenth if necessar log_(3)(5x-7)=4.

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Q: shouldnt g^-1(f(x)) equal 3log2(X)-6 ? (the 2 after log is a subscript)

A: We will find the inverse function.

Q: Justify why log (6) must have a value less than 1 but greater than 0. //

A: We have to proof

Q: Is it possible for a logarithmic function to have a domain of (-∞,4)? Why or why not? Include an…

A: We have to find a log function which domain is (-∞,4)

Q: the domain using correct set notation. f(x)=log_(2)(x-4)

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Q: Rewrite log_(2)(x/y^2) in terms of log(x) and log(y).

A: Use property of logarithmic

Q: A/Write the following function in the Logarithm form? 6²=36 B/ Find : lim

A: The logarithm of x to base b is denoted as logb(x).

Q: Expand In 1 into a sum or difference of logarithms containing no exponents. Question Help: DPost to…

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Q: Find the domain of the logarithmic function in interval notation:f(x)=log_7^((x^2-49) )

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Q: The natural logarithm of the final answer must be eliminated, pls show the complete solution thank…

A: The product log function can be used to eliminate the complex logarithmic expressions.

Q: The temperature dependence of the reaction rate constant is given by the equation: Ea k = Ae RT…

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Q: Graph function y= 2x and y= log2^x on a single set of axes.

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Q: What is the inverse of the logarithmic function f(x) = log₂x? ○ ƒ-¹(x)=x² ○_ƒ-¹(x) = 2* Of-¹(x) =…

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Q: Given log_(b)2=x and log_(b)3=y, express in terms of x and y, log_(b)18

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Q: Determine the inverse of each function. Express in logarithmic form: A) y=3^x B) y=b^x C) y=(3/5)^x

A: Note: Let f(x) be a function and f(x)=y, then putting y into the inverse of f produces the output x.…

Q: Draw and precisely write as a set, the 1-sublevel set of e^x and the 0-superlevel set of log(x),…

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