The expression loge is equivalent to 216

Q: The energy E (in joules) radiated as seismic waves from an earthquake of Richter magnitude M is…

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Q: 17 14 13 15 12 16 Which graph shows the solution to the equation below log3(X+3) logo3(X-1) 1 33 10…

A: To obtain the graph of the given equation,

Q: 9. Evaluate each of the following: a). loga5 3.5 b). Ine' -* Ans. Ans.

A: Given

Q: 4) Consider the following logarithmic equation: What is the solution to the equation? log4(x + 2) +…

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Q: 10. log-1+2j 4 + 6j

A: To find the principal value of the following 10. log-1+2j4+6j We know that, logab=log blog a So, we…

Q: 6. Which of the following is equivalent to 12* =c-4? A. log 12 =c-4 B. log-4) 12 =x C. log,(c-4) x…

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Q: 4. Find x if the base 3 log of (2x+3) is equal to 4. 30.5 81 O39

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Q: The graph of which function is vertically stretched by a factor of 3 and translated 4 units right…

A: Given,  The graph of  function is vertically stretched by a factor of 3 and Translated 4 units right…

Q: 7. Find the exact value of the following expres: 1) logg 32 – log8 2 2) log 20 + log 50 | 3) log4…

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Q: b Log 40/9 + 2 (2Log 5 + Log 6) = 5

A: Logarithm value

Q: (5) =7. Find the following: loga g) loga (1,000, 000, 000)

A: Given: loga2=3 and loga5=7 To find loga1,000,000,000

Q: Find a formula for the exponential function passing through the points and (2,36) 3. f(z) = |

A: We need to find the exponential function passing through given two points

Q: The value of z in the logarithm equation In e+3 _ 8 is О 6.75 0 9 47 O 1.25 O 3.75 O 0.27

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Q: 20. For what value of x is the following true? You may enter the exact value or round to four…

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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: in The solution of the equation Log(z² – 1) = = is Select one: 1 in 1 15n 24e 4 and 24e 4 1 in 1 19n…

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Q: Suppose In(x + 4) = 10 Express the equation above in the exponential form AB = C. Your answers for…

A: Given logarithm expression is lnx+4=10. We have to expression the given equation in the exponential…

Q: 13. The following functions are given: log3 X +3 4x-15 ● f(x) = g(x) = 2x+8 What is the value of f o…

A: To solve the following problem

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: Which of the following shows how long an investment of £1000 would take to grow to £4000 when…

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Q: 1. Find the exponential function f(x) = Cb* whose graph s given. %3D (3, 24) (1, 6)

A: Algebraic equation from the graph of the function.

Q: 24. For which b does the definition of log,x just given make sense, and why? Is this the same…

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Q: 1) The logarithmic parent function y = log x has been transformed. Write the equation of the new…

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Q: 7. Determine the value for each of the following logarithms. Each of these will have non-integer,…

A: PROPERTIES OF LOGRITHMS( i ) logab = 1logba  ;  b>0 ; a>0 and a,b ≠1( ii ) log (mn) = loga(m)…

Q: 1. What is the value of x in loga 3 =-? A. 1 В. 3 C. 9 D. 27

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Q: 1) lag is equal to logizs b)3, c) 3x .d) none of them

A: Solution: log5xlog125x=log5xlog53x we know, logbna=1nlogba hence  log53x=13log5x hence…

Q: The value of x in the logarithm equation In e+4 = 10 is %3D O 6.17 O 0.37 O 15.70 O 11.17 O 2.00

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Q: Consider the following equation. log1/5 16*-3 = 14 Find the value of x. Round your answer to the…

A: Topic = Algebra As per guidelines , At  a time only one question can be answered.

Q: 1. Use the definition of the logarithmic function to find x in the following equations: a) log, 25 =…

A: NOTE:- As Posted multiple independent questions,we are answering only first question as per bartleby…

Q: d) log2 (2x2 – 5) = 3.65

A: To Solve the equation for all real values of x Given the equation  log22x2-5 = 3.65

Q: 10. Given that ļlog, 2= 0.301, log, 7=0.845, and loga 11 = 1.041, find the following, if possible.…

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Q: 4. Which of the following represents the y-intercept of the function y = log(x+1000)–8? (1) –8 (3) 3…

A: Y-intercept:- Point at which the line or function intersects the y-axis,i.e., Point at which…

Q: 2 Which of the following is equivalent to log,(m) logm(20) ? 80 H log(5) log(m) K log.20

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Q: b = y Convert the logarithmic equation log, 12 = into an exponential equation in the form Section…

A: Proceed as shown...

Q: 3. If loga logx - 3logy , what is the value of a?

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Q: 3. [4C] Determine the equation for the function provided below 2 10 (9, 0) 12 (0, –2) MHF4U1 – Unit…

A: Clearly from the graph one can say it is logarithmic function. When there is a horizontal asymptote…

Q: 1. If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to calculate resulting function after translation.

Q: 13. Express the following equations in exponential form. (a) logs 5 = 1 (b) log, Q = k (c) In 30 =…

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Q: 13. Which of the following is the same as log, (3x +2) = m? A. a®*+2) А. В. т С. а" 3 (3х +2) (3e+2)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Note: m= 8 a. Find the acceptable solution for the equation: log, (x – 1) + log4 x = 1og100 + m b.…

A: Using the properties of logarithmic functions, it can be written that…

Q: 1. What value of t would make the equation 2' = 6 true? 2. Between which two whole numbers is the…

A: (1) We have to find the value of t for which the equation 2t=6 is true. (2) We have to find the…

Q: 2 a) Use your calculator to find the approximate value. Round the answer to 4 decimal places. Log 45…

A: The difference between log and ln is that log is defined for base 10 and ln is denoted for base e.…

Q: The following formulas give the populations (in 1000s) of four different cities, A, B, C, and D,…

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Q: Answer is 3.2 but confused on how to get it 5.5 = – log(z) x = ? (report x to two significant…

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Q: Consider the following. 4* + 21 + 2x = 40 (a) Find the exact solution of the exponential equation in…

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Q: Which of the following points are included in the graph of y= log, ( +5)? Select ALL points where…

A: We will find out the required solution.

Q: 2. Prove the following equations: A. HOg, 6 = 1 logab a 1+log, b B. log1 a? = -2

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Q: Consider the following. 1+ e2x + 1 = 15 (a) Find the exact solution of the exponential equation in…

A: Topic = Algebra

Q: nsider the following. 29 - 5x = 19 (a) Find the exact solution of the exponential equation in terms…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.