1. log x + log(x – 99) 2. log3(2x + 1) = 2 3. log5(x – 10) = 2

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: 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: 11. log( 2x + 9) + log( x + 3) = log( x² +1) Solve.

A: Logarithm is the inverse function to exponentiation. Logarithm of a number is the a quantity…

Q: a- Simply the following 1 1. Inx – In(x2 – 1) + 2ln(x + 3) - 2. 5log2 + log3 – log8 b- find x for…

A:

Q: 4x (log3 x)° (csc5 x) Vsinh(2x – 8) b. y= -

A:

Q: Condense each logarithmic expression.

A: We have to condense the following logarithmic expressions -  (a) 12log x + 3 log(x+1)⇒ log(x)12 +…

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

A:

Q: 4e3x+3-7=53

A: Hi! You have posted multiple questions. So, we will be solving only the first question as nothing is…

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: logzx = 3 – log,2x 7. In(x + 2) + In x = In(x+ 12) Pgol+x0ol 6. log 3x + log 2x = log 150 %3D 8.…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly…

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

A:

Q: 6. h(t)=- 2-1 7. g(x)%= 1-Vx-2 8. f(x) tanx 9. (x) = log(1-2x) 10. y (1-x

A: Please check step 2 for the solution.!

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

A:

Q: 17. log (x² + 3) - log(x + 6)

A:

Q: #11

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

A:

Q: solve the logarithmic equations.

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

Q: woubnat Solve for x 7* = 12 a. b. log(x+5)+log(x-4)=1 c. log, (x+3)-log, x= log, 7 %3D d.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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

A:

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…

A:

Q: (1) (a) Solve the following: 1 (i) 2*-6 (ii) log;(x+3)=1-log;(x-1)

A:

Q: dx (x+1) log(x+1) ¹__In[10g(x+1)]+ C In 10 - - log² (x+1)+C 2 -In10 log² (x+1)+C 2 In 10…

A: On solving this we will get Option (D) is correct

Q: write the logarithmic equations in exponential form.

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

Q: Q3\ Solve for x: a. log(20x + 1) – log(x – 2) = 2 b. In(x - 2) + 2 in Vx+ 3 In6 %3D

A:

Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

A:

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

A:

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: 1. log(x) +log(x – 1) = log(3x +12) %3D

A: log(a) + log(b)= log(a.b). And, if log(a)= log(b) then a=b.

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: 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: 3. 2 log x< log (2x-1)

A:

Q: 4 log x + 20 log y- 12 log z

A: We will use basic log properties to solve this

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

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Q: 4 log(x) log(x2 + 1) + 3 log(x – 1) 5

A: a) Given data:     The given expression is: 1/3 log(x+2)3+1/2[ log(x4)- log(x2-x-6)2].   The given…

Q: Differentiate.

A:

Q: Suppose a certain population is initially absent from a certain area but begins migrating there at a…

A:

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: 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: 7 + log(16x) = 27 − 3 log(x)

A: Given equation: 7+log16x=27-3logx

Q: 4. y = log(x² – 7) 5. y = ln х+2 x-3 31

A:

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

A:

Q: 6. In (x + 8) + In (x – 1) = 2 In x 7. log3 (log, x) = 0 8. In V = Vĩn x

A: We can solve this as follows:

Q: -9 2 log10(x+1) Evaluate dx x+1

A:

Q: d) ln 3 − ln x − ln(x + 5) = 0 (e)log4 (x + 2) − log4 (x − 1) = 1 (f) log2 (x − 1) − log2(x - 1) -…

A: We have to solve the following equation for x.

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

A: Question:

Q: 7 + log(8x) = 28 − 2 log(x)

A:

Q: Solve for x (to four decimal places) in each of the following: (0.26) log25) (4x- f) (414)x (1/4)*+3…

A: (f) The given expression is,