Find x rounded to three decimal places. (1)log(3æ +2) = log(2a + 5) (2)log a – log 5 = log 7 2 (3)log2 x +3 log, 2 = log,

Q: O log (x)+Log (x-1) = log (8X-12)-1eogL2) %3D Ans/x= 2,3

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

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

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Q: 1) 2-log₂ y = 2log₂ (x+y) log₂ (x+y)+ log₂ (x² − xy + y²)=1

A: We have to solve given problems:

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: Given, graph where y=0 at x=3 y=log3x-1 satisfy this given graph  put x=3 y=log33-1y=1-1=0 now find…

Q: (log3 (x² + 5)) = %3D dz

A:

Q: |Example 6.12. Prove with the usual notations, that (i) hD = log (1 + A) = - log (1- V) = siiih- (E)…

A: Please find step by step solution below:

Q: ii) 2 log, (x)– log2 (3x – 4) = log, (x – 1) – 1

A: We make the coefficient 2, exponent inside the log.  And for 1 we replace it by log22 because…

Q: 2 2. + logio x - 3 = 0 10 %3D logx 10

A: 1logx102+log10x2-3=0Apply log rules:2log10x2-3=0Rewrite the equation with log10x=u2u2-3=0u=32,…

Q: 1 14) log, 3 + 2 log, 25-log, r 15) log x + log 5 = 2

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Q: 4) 19-17-log₂ (2x+4)

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Q: (x-2) log.(x2 - 4) – 2 log (x-2) + loga (x+ 2)

A:

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

A:

Q: dx aluate: :S₁ (x+1) log(x+1) A In10 In[log(x+1)] + C 1 B -In[log(x+1)]+C In 10 O In 10 log² (x + 1)…

A: Topic:- application of integration

Q: #11

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Q: Write each expression as a single logarithm

A: Given,

Q: valuate. Express result in Rectangular Form correct decimal places. z = log(1-5) (2 + 4i)(1-2t) +…

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Q: solve the logarithmic equations.

A: As per guidelines, we are supposed to solve only first three questions. Please repost other…

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: 1. Find the function of the form y = log,(x) whose graph is given. y = y 1.5 (5, 1) 1.0 0.5 5 6 -0,5…

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Q: solve for x in the following equation 2e^3x-1=10

A: To solve the equation

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: loga(B) + loga(C) = loga(BC) loga(B) - loga(C) = loga(B/C)

Q: (b) 5" (2 – cot 5")(1 – csc 5“) dx SC 11 – 2 log x (c) / dx JIV6 log r – logʻ 1 x/6 log x -

A: You have asked Only part b and c

Q: 1 Find the exponential function f(x) = a* that passes through the point - 3, 216 and has a y- -…

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Q: 2 lim log 10* X-1 8. -3 lim log,(x-2) x-9 А. 3/2 В. 2/3 C. 1/3 D. DNE

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Q: 7. log;(x²) =, x log5(_ 8. log,(y*) = x log-(. 9. log(V1000) = – x log( %3D

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Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: The graph of a logarithmic function is given. Match each graph to one of the following function…

Q: 7 log.y- log, w+4log.z 5

A: on applying log algorithm we will get

Q: ½ log a ( x + 2) + ½ loga (x-2) = 2/3 log a 27

A:

Q: 25^x-2 = 5^3x   3e^-5x = 132   -4(5^x) = -68   e^2x-7e^x+10=0   ln3x = 8.2   log(x+2) -…

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Q: 5. If log, x = 0.3 and loga Y = 1.24, then the value of log, x²y? = %3D

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Q: Find the maximum and minimum values of the function f(x)=logeX on the interval [5,9]. Round to the…

A: Given that: f(x) = logex   in the interval [5,9]

Q: y = log, x %3D 1 1 1 2 4 8. 16 8 4 2 y.

A: given y=log2x complete the table x 116 18 14 12 1 2 4 8 y

Q: 7) y= log, x+ 9 8) y= log, x

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Q: 4 -3 2 1- -8 -7 -6 -5 -4 4. 5 1- (-1,=1) 2 (0, –2) -3 |(1, –4) -4 -5 -6 -7 -8 f (x) =| log (x+

A: We can solve this using given information

Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

A: SOLUTION- Since you have posted a question with multiple subpart , we will solve first three for you…

Q: 5. If log 0.3 (x-1) < log 0.09 (x-1), then x lies in the interval c. -2 <x<-1 d. 1<x< 2 a. 2<x < b.…

A: If log0.3(x-1)&lt;log0.09(x-1)

Q: T + log, (V2" . 2™ sin 24-1 (-1)5 + (–1)27 (-1)766 3 25 – 24 – 23 + log, (log3(915) + 71+(-1)17 + 1)…

A: Find the values of each terms one by one.  Since loga ar=r, sinπ+log2 2π·2π25-24-23=sinπ+log2 2π8…

Q: Please I want solution with all steps. Many thanks

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Q: 13. 3*-5 -4 14. In(x – 2) = 4 %3D 15. log(x + 9) + ipgx = 1

A:

Q: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

Q: 2 log(2) + 4log(y) - log(25) - 3 log(d) 2 log(2) + 4 log(y) -log(25) - 3 log(d) = =

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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: 1. y = -3+log, r 2. y = log, (r – 2) 3. y = - log, (æ + 3) 4. y = 2 + log,

A: we have to match

Q: Solve for z: log(z + 5) – log(z + 3) = 2 You may enter the exact value or round to 4 decimal places.

A: The equation to be solved is logx+5-logx+3=2   The properties of logarithm to be used are as…

Q: rewrite each expression as a singlelogarithm.

A: 35). Given expression is 3log2x+log2y To rewrite the expression as a single logarithm. Solution:…

Q: 3) log 5x- log 8 = 3 4) log, x+ log, (r+ 1)= log, 2

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Q: (a) E(- log X) > – log(EX) (b) E[log(1/X)] > log[1/EX] (c) E (X³) > (EX)³

A: Question:

Q: b. log(x*) – log(2x – 1) = log(x?) + log c. log1 3 + logi x < log1 5+ logı (x - 2) 2 2 2 d. log3 (x…

A: Given logarithmic function

Q: 1 3 log2 (x + 1) – 4 log2(x* + 8) +log2(x – 10) -

A:

Q: T + log, (V27 - 2") sin 24-1 + log, (log; (915) + п1+(-1)17 + 1) + (-1)5 + (-1)27 (-1)766 25 – 24 –…

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