Use the Laws of Logarithms to expand the expression. x2 + 4 log V (x? + 6)(x³ – 7)2

Q: 5. Write as the sum and/or difference of logarithms. Express powers as factors. Vx+4 (x-1)2²\ In 5(2…

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Q: Show that -b + VE - 4ac log -b - VE - 4ac + log 2a 2a = log e - log a

A: We have to show that,  log-b+b2-4ac2a+log-b-b2-4ac2a=logc-loga

Q: Solve for x in terms of k. log5 x + log, (x + 5) = k. X = Find x if k = 5. -(5-5sqrt(501))/(2)

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Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

A: Part (a): ln(x) = - 5 Use the logarithmic definition: if

Q: Sdlue for x: a) 3¥ = 815 c) lag (2x-3) tleg(x-2)= lag(2x-1) d) 2-*= 2*"+2 Do not use log fer a) and…

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Q: 3. Write the expression as a sum and/or difference of logarithms. Express powers as factors. Log().…

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Q: 9. Use the properties of logarithms to write the expression as a single logarithm. a) Inx – 3 In y +…

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Q: Using complex logarithms, we have 3 3/3 km). In 2. In a + i + ckT where k is any integer, and a, b…

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Q: Solve the given equation for a. log1o z + log1o (I +3) = 1 If there is more than one answer write…

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Q: B. If z = a + bị and a + bi =r < 0, what is a. The logarithm of z b. The exponential function of z

A: Given z = a + bi

Q: use the laws of logarithms to expand the expression a) log_6(x square root of y) b)log…

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Q: x2 + 8 log V Cx5 + 7)(x³ - 5)*

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Q: Rewrite the expression 2 In 6 + 4 In x + 4 ln(x² + 8) as a single logarithm In A. Then the function…

A: We have to find

Q: Use the Laws of Logarithms to expand the expression. (a) log() 25 log (x) + log (y4) – log (z³) ×…

A: logmn=log(m)-log(n)log(mn)=log(m)+log(n)log ab= b log a

Q: (a) Solve the given function and show that x can be describe in terms of natural logarithm 10sinh 2x…

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Q: Rewrite the expression 1/4 log(2x+1)+1/2 {log(x-2)-log(x^4-x^2-10)} as a single log A. Then, the…

A: The given expression is: 14log(2x+1)+12{log(x-2)-log(x4-x2-10)} To write the above expression as a…

Q: logarithms. :): /hich is equivalent to In x²+1 ? 2y³x4

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Q: Solve for all possible values of x within the domain of the following logarithmic expressions. | a)…

A: Topic:- algebra

Q: 4. Find all the values of z for which each equation holds. (a) Log(z – 1) = -i. (b) exp(z+1) =…

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Q: The restrictions on the variable in the expression log x-9)-log(x² + 6x + 9 ) ; is а. х> 3 b. x<3…

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Q: Simplify. State any restrictions on the variables. a) log(x² – 4) – log(x – 2) b) log(x? + 7x + 12)…

A: According to question,Given,a. log x2 -4- log x-2

Q: Using properties of logarithms, log (x y)° can be written as PERF.. .... Select one: a. log 6 (xy)…

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Q: Use the Laws of logarithms to rewrite the expression ,15/x – 1 In За — 18 | in a form with no…

A: Explained below

Q: Given that p = loga 4 and q = loga 5. Express loga 100 + loga 0.4 in terms of p and q.

A: The given value of p and q are p=loga4  and  q=loga5.

Q: Solve the equation for x, give EXACT answers, show all work! log2 I + log,(x – 3) = 2

A: According to the definition of the logarithm, if logax=y, then y=ax. the number a is called the base…

Q: 3. Given that log,x = 2 and that log, y = 3, use the logarithm laws to expand the following and…

A: \Logarithm rules:logaxy=logax+logaylogaxy=logax -loga yloga x4 =y loga xlogaa =1

Q: Use the Laws of logarithms to rewrite the expression 17 x'Vx – 1 In За — 20 - in a form with no…

A: The objective is to use the laws of logarithm to write the expression in a form with no logarithm of…

Q: Rewrite the following logarithmic equations in exponential form. 6. log m= n В. 7. log3 81=4 8. log4…

A: Given the equations in logarhmic form

Q: se the Laws of Logarithms to expand the expression. (a) log() (b) In y x + 2 (c) log x*(x2 + 4)

A: We have to express the following expression

Q: Which expression is NOT a law of logarithms? a) loga xy = loga + loga Y b) 10%a loga X Y = log₁ x c)…

A: This question is related to laws of logarithm, we will solve it using given information.

Q: Find the domain of the following exponential and logarithmic equations and solve them: log4 22.…

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Q: Use properties of logarithms to fully expand the following into the sum or difference of simpler…

A: Consider the given logarithmic expressions, the quotient rule, product rule and the power rule for…

Q: (a) Solve the following: 1 (i) 2-6 8. (ii) log, (x+3) =1– log,(x–1)

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Q: E. The expression log(3 + x) is undefined for what values of x?

A: As we know that log 0 is undefined

Q: x²-9 4. Expand the logarithmic expression log, x²-6x+8

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Q: If x is an integer then solve (log2x)2-log2x4-32=0

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Q: a) If log:3 b) Solve for x if log,o(8x+1) – log10(2x + 1) = log1o(x+2) = a and log105 = b, write…

A: (a) Here given as log103=a, log105=b log1075=log103×52=log103+log1052=log103+2log105=a+2b (b)…

Q: Log M-Log N is equal to? a. Log(M/N) b. Log (M-N) c. Log(M/N) d. Log (N-M)

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: (a) Solve the following: -1 (i) 2*-6 8 (ii) log, (x+3) = 1– log, (x-1)

A: An equation is a formula that provides the equality of two expressions, by connecting them with the…

Q: B. Expand the expression using the properties of logarithm. 1. log63x 2. log2 ) 3. log10xy? C. Solve…

A: (B) Use the properties of the log to expand the given expressions. 1…

Q: Using the properties of logarithms, rewrite x13 log y+ . O A) 6 log x - 2 log y | B) 12 log x - 4…

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Q: Find the value of b so that c(x) logbx passes through the point (27,3) A. 3 B. 9 C. Square root…

A: Solve it.

Q: Solve the following logarithmic equation: K•3 B-5 log2(x – K – B – 3) = log2 (x + K + B – 12) %3D

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Q: Solve the Logarithms Equation. logtan nx (2 + 4 cos 2nx) = 2

A: The given logarithms equation is  logtan nx(2 + 4cos2nx) = 2

Q: 16.Solve for x: log, (2x+ 4) – log, (x-7) - 3 Find the equation with following roos : 17. a) – 2±5/2

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Q: The solution of log, (7+ x) = 3 log, 4 is O x = -57 O 1 = 71 x = 57 O T = -3 O 1 = 12

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Q: 5. Assume x, y, z, and b are positive and b is greater than 1, write the expression with logarithms…

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