Prove that log 5436 is irrational.

Q: (b) If 2log 5+log 4 = 2, find a.

A: The given equation is: 2loga5+loga4=2   As we know the logarithmic properties; 1). logaxb=a·logab…

Q: (Every topo log y is a base for itself) True or false

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Q: 2. Use BabyStep-GiantStep to compute log;(12) in Zr.

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Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and…

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Q: (*) We can expand log to get

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Q: Which of the following is equivalent to In(2x – 3) = 5 e2x-3 = 5 %3D e = 2x - 3 %3D log5 e = 2x - 3…

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Q: In 13 and 14, solve for x. 13. log x = 5 14. log x = 1.25

A: 13. logx=5 we apply the rule,  logab=c⇒b=ac so write the given equation as log10x=5∴x=105…

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

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Q: (True/False) log n is O(5n³).-

A: To find the given statement is true or false: O(5n3)=O(n3) Since coefficients can be ignored while…

Q: Expand the following expression as much as possible and compute any parts that can be done without a…

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Q: Then use your work to calculate the discre Show that 6 is a primitive root of 13 logarithm of 11…

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Q: Prove that Log(2) is discontinuous on R, the nonpositive real axis.

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Q: Suppose that In 2 = a and In 5 =b. Use properties of logarithms to write each  logarithm in terms of…

A: Given- ln2=a and ln5=b To find- The expression in the terms of a and b. Formula used- lnm·n=lnm-lnn…

Q: Suppose that, for a certain real number b > 0, log,(3) = 2.53 and log,(5) = 4.21 Find log,(45) 1…

A: Given:  logb3=2.53   and logb5=4.211) logb45=logb9×5we know that log(ab)=loga +logbThen…

Q: If log, (3x + 4) = 5, then x =

A: Log2( 3x+4)=5. using the definition of a logarithm:- for any positive real numbers x and b, b≠1,…

Q: Show that, log(-1+i)² + 2log(–1+i).

A: Use the formula logz=lnr+iθ. To find log-1+i2:…

Q: Determine whether the following statement is true or false, and explain why.

A: We know, By definition: logax=y,if and only if x=ay Also by logarithmic property:logaan=n…

Q: The unwritten base of log(x) is and the unwritten base for In(x) is

A: Here is the solution

Q: Prove the following: Simplify the following by using exponential form: shst Schhox

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Q: If told the log 3=which of the follow is correct Log 27=0.477+0.477 Log 27=0.477x0.477x0.477 Log…

A: log(xn ) =n log(x).

Q: Can an exponential function be done in surging CoVID-19 infection?

A: Can an exponential function be done in surging CoVID-19 infection?

Q: If VA= B, then log a B =. --

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Q: In MATLAB, the command for finding the natural log of 5 is loge(5) O log(5) O

A: To find the command for finding the natural log of 5, in MATLAB

Q: Select all that apply: log4 (114) = 11 4log,(11) = 11 O 4log11(11) = 11 O log, (4") = 11 11log,(4) =…

A: Please refer the attached image for complete solution.

Q: If log, (4x + 4) = 5, then x

A: SOLUTION-

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

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Q: Suppose that In 5 = a and In 11 = b. Use properties of logarithms to write the logarithm in terms of…

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Q: convert the exponetial in logaritham form. 4v=a

A: logarithmic form will be  log4a = v

Q: what is b if ( log b x) ' = 1/3x

A: Concept: Derivative of log(x) is  logx' logx'=1xln(10)....................(as log is default base…

Q: If log, (4x + 4) = 5, then x =

A: We will use properties of Logarithmic and Exponential functions   Answer given by two different…

Q: 10. Use the definition of a logarithm to find the exact solution for 4log(2n)–7=-11

A: Given, 4log2n-7=-11 To find the exact solution of above expression.

Q: Show using simple (High School) algebra that log N! is in 0(N log N). Hint: There exists a two…

A: We have to solve given problem:

Q: Prove by contradiction: "log4575 is irrational."

A: To prove that log4575 is irrational

Q: Use the properties of logarithms to solve the following equation: In = In х — 6

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Q: Use the discrete logarithm with base g = 3 to find the square roots of 5 in F19.

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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: can an exponential function be done in surging covid-19 infection?

A: To find- if exponential function  can be done in surging covid-19 infection.

Q: Prove that log46 is irrational

A: We have to show that log46 is irrational. We are going to prove this by using contradiction method.…

Q: Solve: Log(base 4) (x)= 5/2

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Q: Suppose that In 6=r . Use properties of logarithms to write the logarithm in terms of r.  In 36=

A: Given: ln6=r we know that lnmn=nlnm                              ..1

Q: What is 2*log(3)?  Expanded and get the exact answer.

A: Use property of logarithm

Q: Prove that log3(25) is irrational.

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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: Prove the following statement: log√bx=2logbx

A: To prove: log√bx=2logbx

Q: why the discrete log problem mod p = 100000005821 is especially insecure.

A: first  of all we must know about the discrete log problem.if G is multiplicative cyclic group and g…

Q: How would you solve log base 2(x+18)=3

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.