5. Evaluate the following expression, and write your answers in exact form. Show every single step, and next to each line write which fact you're using in that step, or a description of what you did, e.g. "log„(bº) = clog.(b)" or “rewrite using the same base", el+2a = e"+2

Q: Express the following as the logarithm of a single quantity. log 74 + log 716 Choose the correct…

A: The given logarthim expression,   log745+log716

Q: Express the below expression as one single log. 3 + 0.5log, x + 0.5log,y - 3log ,z

A: Given,3+0.5log3x+0.5log3y-0.5log3z

Q: Solve the following equation analytically. (Enter your answers as a comma-separated list.) log 10-4…

A: find the value x

Q: Solve for n 1.log, 36=2

A: The property of logarithm is logab=c⇔1logba=c and logab=c⇔ac=b.

Q: 1. Which of the following is equivalent to y= log, x ? (1) y = x' (3) x= 7" (2) x = y' (4) y = x%

A:

Q: 14. Set up and solve an equation to evaluate log, ().

A: Given logg13=?we know thatlogabc=c logablogambh=hmlogab , logaa=1

Q: Without using a calculator, find the exact value of the following expression. log 5625 - log,1 8 -…

A:

Q: log, 49 = 2/3

A: As per given by the question,  The given logarithmic function is, Logx49=23 Now, Finding the value…

Q: 1. Simplify the following much as you can. as (a) log, 16 log10 V10 (c) slok 5 (b)

A: Concept : properties of logarithm  loga(am) = m ; aloga(b) =b ; e loga(b) = loga(be) a) log2(16) b)…

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

A:

Q: Evaluate the following. 1 a) log√3 b) log² √b

A:

Q: 2. Simplify the following expression using the change-of-base formula: log₁2 7. Round to the nearest…

A: We can simplify the expression as below using change of base formula.

Q: Given that log(27) = 1.431, calculate the log(9).

A:

Q: Which of the solutions below is the extraneous solution to the equation log, (r– 10) = log, (3z) ? -

A: The given question is taken from the logarithm in which we have to find the solution of the given…

Q: 2. Evaluate each of the following. Show all steps/work. b) y = log6 216 a) y = log, 243

A:

Q: Solve the following equation for x. log, 81 = 4 O 20.25 9 324 0 3

A:

Q: The homework problem says to express as a single logarithm and, if possible, simplify, which i dont…

A:

Q: 2. Solve the following logarithmic equation or FULLY explain why it is not possible: log(-8)

A: Logarithm of a number is defined as a quantity representing the power to which a fixed number (the…

Q: 1) Condense the following logarithr 4log3x + log,v 2) Expand the following logarithm log.()

A: We have to expand logarithm

Q: Evaluate the following expressions 5. log, 3

A: Evaluate the given expression.

Q: Solve the following: . Find the solution set for log3 2+2.log, x= log3(7x-3)

A:

Q: Evaluate the following expression without using a calculator. log s6

A:

Q: 48. Determine the exact value of log, 4.

A:

Q: 13 Which of the following is equivalent to x - 3 = 2? A log, (x - 2) = 2 B log, (x + 3) = 2 C log,…

A: The given equation is: x-3=22

Q: Express the following in terms of x without logs. log(100,000*)

A: Consider the following: log100,000xApply log rule,logaxb=b·logax

Q: 4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the…

A:

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

A:

Q: 4. Which of the following answer choices are correct? log, (x +5) = 3 (A) 2 (B) 6 (C) 5 (D) 4…

A:

Q: Solve the following for xx. Give an exact answer using the log function. 13⋅(8^3x−9)=65

A:

Q: Evaluate the following expression using your calculator. Round the values to the nearest…

A:

Q: 2. Write each of the following single logarithm. as a b) (4 log,(x)– 2 log, ())–3 log, (w)

A: Solve the following

Q: 1/15 Correct without the use of a calculator. Write your answer as log(0.01) low)

A: In this question we will use basic of properties of log. As we know that log(ab)= b(log(a)) and…

Q: If log, 3 = 4, solve for xin the following: b = 9

A:

Q: is asked to determine if the following expressions are equivalent to log (ab). Original Expressions…

A: Logarithmic Question

Q: Express the following in the form :+ ib. (a) log(e³-i) (b) (1 – i)3+i

A:

Q: logs x + log1

A: The given expression is log5x+log151x

Q: 2. Given p = 2' and q = 2', express log, p'q in r and t terms. 64

A: Given

Q: 7 log, (u5)

A: We need to evaluate the value of the following expression log557

Q: Solve the following equation: (log,(t))° – log, (t4) - 5 = Write your answers as decimals rounded to…

A:

Q: Evaluate the following expressions without using b) log (0.1) 1. a calculator. a) log; (81)

A: The answer is found in step-2

Q: Solve the following logarithmic equation: log, (z+4) + log,(z-2) 2 Round to the nearest hundredths,…

A: Handwritten solution is provided below log4x+4+log4x-2=2

Q: Which of the following is not equal to 5? log 100 000 6log, 5 In e logs 1

A:

Q: . If log,c 4 and log.b 6, what is the value of d if log.a' d?

A: For the solution follow the next step.

Q: 2. Find the root Op 3x-logio

A: Given,         3x-log10x-8=0

Q: Convert the following expression to the indicated base. log21x2 + 12 using base e

A:

Q: Solve the following equations for x. Answers must be entered in exact form. (a) If log, 8 = 3, then…

A:

Q: 11. 5+ log, (n + 1) = 8

A:

Q: GM = Antilog log X; i=1

A: If we multiply c times to each terms, then GM will not be not change Geometric mean is given by…

Q: 3. Solve the following equation using logarithms: 81 +* = 512

A: We find the x

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.