find log 81 + log 16 – log 8+log 3=6 a) true b) false Marah Nathir

Q: Expand log(8k)

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Q: (4) log, 40 – log2 5 (5) log, 27

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Q: 6. Solve log,(1 – 3x) = log,(1 – 5x) – log, 2x (A)

A: Some of the properties of the logarithmic function  If logax=logay then x=y logax+logay=loga(xy)…

Q: PROVE that log, 100 = 2(1 +log; 2)

A: We have to prove that                                     log5100=21+log52

Q: If log, (4x + 6) = 3, then x = %3D

A: Given:          log2(4x + 6) = 3   To find x

Q: (*) We can expand log to get

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Q: If log,b = x³ and log,(÷), determine the value of x by showing all steps in using the appropriate…

A: logab=x3b=ax3

Q: Expand: log, (xVy).

A: logbxy3=logbx·y13

Q: Evaluate the expression log ∛10 without using a calculator. If evaluation is not possible, state the…

A: Known facts: logab=bloga log10=1

Q: fill out the exponential side of the sheet. Create 2 representations under exponential side.

A: To determine the two-exponential form of the logarithm.

Q: Without using the theory of logarithms, show that for any natural number n, there exists a natural…

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Q: Use the Laws of Logarithms to combine the expression. 3 In(2) + 5 In(x) - - In(x + 7)

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Q: Chapter 7, Section 7.1, Question 062 Rewrite the expression log ABS in terms of log A and log B, or…

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Q: Show that 3x2 + log2x2 is Theta(x2). log2x is log base 2 of x.

A: Consider 3x2+log2x2 . It is known that  log2x2<x2, for all x>0. Then, log2x2<3x2 for all…

Q: Prove log, + log, 20 log, 8 = o

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Q: Evaluate the expression log3(log8 8) without using a calculator. If evaluation is not possible,…

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Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

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Q: 93. Use the results of the two exericses above to prove that: (a) log,(÷) = - log, x (b) log,(÷) =…

A: (a) We have to prove that logb1x=-logbx. Consider LHS=logb1x. Use the exponent rule 1am=a-m to…

Q: If log base b (x)=0.35 and log base b (z)=0.85. Evaluate the expression of log base b (square root…

A: We have given and we need to evaluate :

Q: 5. Rewrite as a single log. In () 24

A: we have to write the given expression in single log

Q: fin log In () (2)In

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Q: Expand log,() o bg(3)-log,(2) O be2)-log-(

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Q: here are 4 statements below, how many of them are correct? In(a2- ab) • log,(a²– ab)= Ina log(a?-…

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Q: Prove that log 5436 is irrational.

A: Here is the complete solution for your query

Q: Solve. log, x + logo (x + 5) = 2 O x = -4, x = 9 O x = 4 O x = 9 O x = 4, x = -9

A: Use the properties of lograthim and form the equation into quadratic than Factories to solve.

Q: Express 273 = 3 in logarithmic form. log27 3 = 3 O log, 27 = 3 O log: 3 = 27 O log3 3 = 27

A: In this question we have to find the logarithmic form of the equation given by using the logarithmic…

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

A: The given expression is the logarithmic function that can be solved with the help of the logarithmic…

Q: Which of the following in not equivalent to log, 3z O 4 log, y - log, 3x O 4 log, y – log, 3 - log,…

A: logmn=logm+logn log(m/n) =logm-logn

Q: a. If log, (45) – log, (5) = log,(n) then n = - Preview b. If log(43) – log(n) = log(6) then n =…

A: For (a),    log445-log45=log 4n⇒log4455=log 4n⇒log49=log 4n⇒n=9 For (b),…

Q: 13. Determine whether or not each statement is true or false for all x>0 & y>0; if a false, provide…

A: The solution is :

Q: Write as the log of a single quanity: 1/2 [3logx + logy - log5]

A: Given that 12[3logx+logy-log5]simplify it in single log quantity

Q: Evaluate the expression log3(log2 1/8) without using a calculator. If evaluation is not possible,…

A: Evaluate the expression log3(log2 1/8) without using a calculator. If the evaluation is not…

Q: Expand into several logarithms: In 25

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Q: Prove that log(7) is irrational. Hint: Use contradiction and the definition of a logarithm to prove.

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Q: 1. Evaluate log,

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Q: Assume X, Y, Z are positive numbers. Use propertie of logs to write the expression - 2log X-blog₂ y…

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Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

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Q: Write In 4 + 4 In x + 6 ln (x² + 4) as a single logarithm. Assume all arguments represent positive…

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Q: Simplify the expressions 5 log5 7 Express In 13 in terms of In 5 and In 13 25

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Q: Evaluate lim {log, -1(n)· log„(n + 1)..... log,(n*)}, where ke N. -1(n*)}, where ke N. .... .. n →…

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Q: Use of base formu la to compute log Togy 9. Rond, Nour answer to the nearest thousandth

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Q: If log, 1 a =– and log, vb =3x², show that x = - %3D 6

A: logba=1x  →1  &  logab=3x2  →2

Q: Write out a table of discrete logarithms modulo 17 with respect to the primitive root 3.

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Q: Prove 42 tan xdx =1-log 2 3

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Q: Show that if log, a=c and log_ b = c, then log, y =c².

A: Using the properties of the logarithmic functions, it an be written that logbc=log clog b.  Using…

Q: Let X-N(0,1); show that X member in exponential family.

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Q: Find the discrete logarithms of 5 and 6 to the base 2 modulo 19.

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Q: Find the largest value of xx that satisfies: log5(x^2)−log5(x+3)=9 x=

A: For the solution follow the next step.

Q: V (P) = log (2) (5) + + log (4) 2, + log (8) = log (4) + ...

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Q: Exercise 7. Find the Hoor of each logarithm. That is, jor k being the logarithm, find the inmteger…

A: Please see the below picture for detailed solution.