(log x- log by) + 5 logv

Q: Write the expression as a logarithm of a single expression. Assume that variables represent positive…

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Q: Determine whether the statement, If log(x + 3) = 2, then e2 = x + 3 is true or false. If the…

A: The given statement is false, because the base of log is 10.

Q: Solve for æ: log,( – x + 12) = 2 Write log,( – x + 12) = 2 in expone

A: Given that: log4(-x+12)=2

Q: 2x log 2x dr 1 (x²+6x+5)3/2 dr

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C   1). The given integral is: I=∫2xlog2xdx Apply the…

Q: Find the domain and solve log, 81 =x

A: Definition of the Domain of a Function For a function f defined by an expression with variable x,…

Q: Write as a single logarithm: log r² V5 – log rs² + 1

A: Product property of logarithm: Quotient property of logarithm: We know that,

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

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Q: Express each expression as a single logarithm. Simplify if possible. 3 7. log, +1(x + 2x + 1)

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

A: To solve the logarithmic expression

Q: Write as a single logarithm: 4 logb x - 2 logb 6 - (1/2) logb y.

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Q: Simplify and solve log; v9.

A: We have to simplify and solve the expression log59

Q: Simplify the expression log(x-x-6)–log(x²-5x+6) restrictions on the variable. as a single logarithm.…

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Q: Solve for x: log, (3x + 10) = 2 Write log, (3x + 10) = 2 in exponential form. Find the value of x. x…

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Q: Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1. 9…

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

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Q: Write the expression as a single logarithm with a coefficient of 1. Assume all variable expressions…

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Q: 5log. (x) – 7log, (xy) – 3log,(z) -

A: Answer and explanation is given below..

Q: Write as a single logarithm: 3 log, x - 2 log, 5 log, y.

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Q: Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1.…

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Q: Write as a single logarithm and simplify as much as possible: log(x -4)-3logy-2log(x+2)+logy

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Q: Write as a single logarithm: a. log4 2 + log4 32    b. log(4x - 3) - log x.

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Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A: Recall: log ab=b log a log(ab)=log a+log b

Q: Find the domain and solve: log,81 =x

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Q: Express single logarithm and simplify: 4. as a 3 logą(a + b) + 2 log4(a+ b) – log4c, a +b > 0,c > 0

A: Let's find.

Q: Write as a single logarithm. 2 – log(x)

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Q: Write as a single logarithm: 2 log(x - 3) - log x

A: We have to write 2logx-3-logx as a single logarithm. Properties of logarithm are: 1. nlogx=logxn 2.…

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

A: Use property of logarithmic

Q: Rewrite in exponential form: log 5=x

A: The objective is to rewrite the given equation into exponential form

Q: Solve for x: log, (1024) = 5 Add Work

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

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Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A: Logarithm rules

Q: Rewrite as a single logarithm: 5 log x - 2 log y + 4 log(x – y)

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Q: Express as a single logarithm and, if possible, simplify. log (x²-2x-35) - log (x²-25) log…

A: Using log(a)- log(b)= log(a/b)

Q: Use the One-to-One property to solve for x: log, (x + 2x) = log, (3x + 2).

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Q: Write as a single logarithm: (1/2)log x + 4 log(x - 1)

A: Given: y=12logx+4logx-1 we know that mlogn=lognm…

Q: Write as a single logarithm: 1/4 logb x - 2 logb 5 - 10 logb y.

A: We have to write as a single logarithm: 14logbx-2logb5-10logby We know the properties of logarithm,…

Q: find x if log(x) = -4.65

A: Given that, logx=-4.65 Here, logx is a base logarithm with base 10. That is, log10x Take 10 raise…

Q: Find the value of x, if log(x+5)+log(x-5)=4log2+2log3

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Q: Rewrite the equation in logarithmic form. Assume that all constants are positive and not equal to 1.…

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Q: Write as a single logarithm. 1- log(x)

A: Given,          1-logx

Q: Write the equation in logarithmic form.Assume that all constants are positive and not equal to…

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: Write as a single logarithm: 1/2 log x + 6 log (x - 2).

A: The given expression is 12logx+6logx-2 To write the given expression as single algorithm. Solution:…

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

A: The property pf logarithmic function is,

Q: Write the expression as a sum of multiples of logarithms. Assume that variables represent positive…

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Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

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Q: Solve for x. (If necessary, enter your answers as a comma-separated list.) log9(x2 − 2) = log9 x

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Q: Find x when log,x = 1

A: Given : log2x = 1

Q: Write as a single logarithm: a. log 25 + log 4   b. log(7x + 6) - log x.

A: a.   log 25 + log 4        = log(25×4)                   . . .(log m +log n = log (m ×n)        =…