Find the value of x 1) 3x < (12 - 3)x-2 2) log51/5 = x

Q: (1) Determine the largest possible domain, intersection with axes and sign of the function f(x)…

A: To  Determine: The largest possible domain, intersection with axes and sign of the functionGiven: we…

Q: 1. Combine log,(4x + 9) – log,(12x -7) into one logarithm. 2. Solve the equation log-(4x + 9) –…

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Q: snip

A: To prove,  loga1N=-logaN where, a  and  N are positive real numbers and a≠1. Now, take the left…

Q: logarithms to find an exact solution for   ln(5)+ln(5x2−3)=ln(154).   If there is no solution,…

A: Given query is to find the value of x.

Q: 1.) Solve the log ar ithmic equation. What is the solution set logz (x-3) + log2 (x- 2) – log2X= 1

A: Solution: As per our guideline we are supposed to answer only first question . Kindly repost other…

Q: Solve the equation.

A: Given, log3x-2=log327-log3x-4-5log51 solve the equation log3x-2+log3x-4=log333-1…

Q: 2. The function f(x)= log₁0x has the point (10, 1) on its graph. Find the coordinates of the image…

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Q: B. Find the sum of the solutions to the logarithmic equation 2log 102-3 log r+2(log :)2 where log r…

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Q: 6 - 2 log2(4x) = 0

A: Given,           6-2log24x=0

Q: Find the domain of the function of 5 log₂ (4-x²)+11 f(x) = 12x-31-2 + sin¯¹(1 − 2x) Express your…

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Q: 4) 19-17-log₂ (2x+4)

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Q: Solve 3"-1 – 2 log2(3) +1 log3 (2) +1 O log3 (2) – 1 Find the solutions to log (x + 3) + log (x – 2)…

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Q: 7) log-2(-8) = x 8) logix = 5 2 9) 2* + 2* = : 10)3*+2 = 92x-3 2

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Q: PROVE that log5 100 = 2(1 + log5 2)

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Q: 1. The solution to the cquation 53x = correct order on the right of the question. 4x+1 is given…

A: Re arranging steps in correct order,..

Q: #11

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Q: Write each expression as a single logarithm

A: Given,

Q: 2 -3 r- 3 x = %3D (z + 4)- 1 = 24 --- log, 15625 6 X = !!

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Q: Solve the Logarithms Equation. sin 4 1 log2 (3 – X) – log2 + log2(x + 7) 5 - x

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Q: 7. Verify that each side of the equation reduces to the same answer. Show your work. log 10° -…

A: given,        log106.1084=log106+4.log108

Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

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Q: 9.1) How would you compute log(4531.2) using a table with inputs between 1 and 10? Can you explain…

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Q: 10. Prove that (log2 3)-1+ (log4 3)-1 < 2.

A: Simplify the powers of the term (log23)-1+(log43)-1 by writing the terms as fractions.…

Q: 15. Solve log5(5 – 3x) - 2log5(7 + x) = 1 %3D

A: We can find the answer as below

Q: 2..3 I. 1.The expression log is equivalent to (2logx + 3logy - logz) 2) (2logx + 3 logy) – logz | 3)…

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Q: Log 2 = 0.301, log 3 = 0.477,  log 5 = 0.699 and log 7 = 0.845 Using this information only, find:-…

A: According to the given information, The given log values are:

Q: True or False: 1. All exponential functions of the form f(x)=a^x−h +k, where h and k are real…

A: To answer the given questions about exponential and logarithmic function.

Q: 2log(base 2)(x-8)-log(base 2)x=2

A: Given,

Q: 2. In (x + 2) + In 2 = 3 | 4. log:9 – logs (x+ 10) = 1 6. log, (x² +3x) – log, (x + 5) = 1

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Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2…

A: Given, log2 (3x + 2) - log4 x = 3

Q: #12. SOLVE THE EQUATION а. log (x²) = (log x)² 1 or 100 b. log Vr – 9 = 2 V 10,009 С. log (x³) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 5. Solve: log,(3x-2)– log,(4x +1) = 2 6.1: Solve: log,(x² -6x) = 3 + Solve: log(x-– 2) – log(2x-3) =…

A: follow 2nd step

Q: Example 2.28. Find a real root of 2x - log 10 iteration method. 7 correct to four decimal places…

A: The give polynomial is 2x-log10x=7. To find: the root of the polynomial.

Q: 43. Graph f(x) = 4x and g(x) = log4 x in the same rectangular coordinate system. 44. Graph f(x) =…

A: 43) Graph

Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

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Q: 4. I. The simplified form of 4 log, " +5 log2 -3 log, z is log2 II. The expanded form of log, p is 2…

A: There are four following math lagarithm formulas

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: 3. Solve for x: log, (x+6)- log,(x-2) = 2 4. Solve for x: log, (x-5)+log,(x+1) = 4

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Q: I .   Solve for  x:     log 10  ( x   +  6  ) +   log10 ( x  -  6 ) =   2…

A: We have to solve for x: log10(x+6)+log10(x-6)=2and  12loga(x+2)+12loga(x-2)=23loga27

Q: 1. Rewrite 2In(x)-3In(z) as a single logarithm

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Q: log base 3 (x+3)+log base 3 (x-3) = 3

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Q: (1093x-21093x+5) The equation log3x-2 X exactly three real solutions at least one real solutions =…

A: Consider the given equation, xlog32x-92log3x+5=33 Let us assume that log3x=m,…

Q: 7. If logab = x³ and log, (÷), determine the value of x by showing all steps in using the…

A: Given logab=x3 and logb4x2 Now, logbc=k. Then, bk=c           . . . (1) Applying this rule here,…

Q: 8. Solve log(x + 2) + log(x- 1) 1. Trial and error will not be accepted. Show all work.

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Q: 1. solve for x, log2(3x-2)=4.    2. use the laws of logarithims to rewrite 7log x - 3log y as a…

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Q: 5-Solve a) log3x + log3(x + 6) = 3 b) log10 (3x-2) -2log10 X+1 = 2 c) log, (1– x) + log,(2x– 5) = 3…

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

Q: The principal value of tan- (2i) is :Select one 1 +i-log, 3 .a 1 log, 3+ i- .b 2 2 c. None of these…

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Q: (a) Prove that log₁ x= -log₁ x where a > 1. a

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