Solve the following equations: a.) 25x-2=6254x b.) 274x=9x+1 c.) log2(x+1)=1 d.) log5(x - 4)=0

Q: Express log in terms of A, B, C, where log 2 = A. log 3 = B. and log 7 = C. 2A 2B 1 OA+B-1 ОА+2B -1…

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Q: Number 3.  Solve the following equations for x: (a). 82x = 2x + 5 (b). log4 (7x + 1) = 3

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Q: Express th equation in exponential form.

A: To express the equation in exponential form.

Q: Solve for the exact value of x. log, (3x) + 2 log, (6) = 4

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Q: Solve the following equations. 7+2 ln x = 6 log, (x+1) = 2 log, (2x – 3) = 3 4 In(3.x) = 8

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Q: Find a formula for the exponential function passing through the points (-2, ) and (2,32) y =

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Q: Solve for x: log, a = -1 C -1 -7 7. 117

A: The given equation is log7 x=-1

Q: Solve the given equation by hand. log(x) = 4 Enter an exact number.

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Q: Express the solution in exact form. log 4(x - 5) + log 4 (X – 5) = 1 O A. {7} О в. {-26, 26) O c.…

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Q: log, +4(9x + 16) = 2

A: Given : logx+4(9x+16)=2 First we write log equation as an exponential equation . logbx=aba=x

Q: log10 (1000) = 3D%D

A: Given :                log10(1000) = x

Q: Solve for x.    (a) x2 − x = log5 25     (b) 3x + 5 = log2 64

A: Given:x2-x=log525 & 3x+5=log264To determine:Solution of given equations

Q: Solve for the exact value of x. log, (4x) + log, (2) = 4

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Q: 2. Solve for x. a. log, 81 = 4 b. logs x = 3 C. logs 125 = x d. log, 10 = 4

A: Using logrithim  properties

Q: Solve the following equation using the corresponding properties: log3 (5x + 7) = 2

A: I have written the used property in the side of solution step and easily find the required solution.

Q: Solve the following simultaneous equations 6 log3 × + 6 log27 y = 7 4 logo x + 4 log., y = 9

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Q: Find a formula for the exponential function passing through the points (-1,5252) and (2,20) y= ?

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Q: –(7 + 3) log2x - loge(6+1) = lo9:(5+>) %3D

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Q: Find the domain and solve: 1 x = log, 27

A: Given:  x=log3127 Here, the domain is a set of all real numbers. Now,                 x=log3127Apply…

Q: Express in logarithmic form for the base. ab= N

A: Given, ab=N Aim: express in logarithmic form

Q: log 10x dx

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Q: Find the values b >1 for which the equatiom log, r = xmb has a unique solution.

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Q: Find a formula for the exponential function passing through the points (-1, 1/2) and (2, 32).y =

A: Let the function is y=a(bx) Given, it passes through (-1, 1/2) and (2, 32).

Q: In the given equation as follows , solve each equation. Express irrational solutions in exact form…

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Q: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

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Q: Solve each equation of x. (a) In x = 8 (b) log2(25 - x) = 3

A: To solve for 'x' in,  ln x = 8 => loge x = 8 => x = e8  => x = 2,980.95799 Note : the value…

Q: Solve: a. log,(x + 3) = 2 b. 3 In(2x) = 12. %3D

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Q: Solve 4- 4- = 16 log (x + 2y). дкду ду? dxdy 2.

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Q: Given z=(3+2i), solve e^logz

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Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the…

Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: x tan (x2) da =? 32+log3 * dr =?

A: Given, ∫0π4 xtanx2dx  ∫3x+log3x dx   We have to evaluate the integrals

Q: Solve for z. log2(8) + log, (a) = 16 (Separate answers by a comma.)

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Q: Solve the 1) log3(2x - 1) + log3(x+ 4) = log; 5 2) log2(3x + 5) - log2(x-5) 3 following equations

A: As per our guidelines we are supposed to answer only one question at a time. Here I am solving the…

Q: 3. Convert each of the following to exponential form and solve. a. n = log,16384 b. 6 = log,46656…

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Q: log (8m²n³) is

A: to find log (8m²n³)

Q: log,(- x² + 15x) = 2 %3D

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Q: log, (9x +30x + 25) = 8 %3D

A: Given,          log29x2+30x+25=8

Q: Solve the following a)81-x =4x+2 b) log2 (x - 1) - log2(x + 3)= log2 (1/x) C) 22x +2x- 12 =0

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Q: Express the equation in exponential form. (a) In 3 = x (b) In y = 3

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Q: solve the following equation. log2(5Vx – 5) + log2(Vx – 1) = 3

A: Given that:   log2(5x-5)+log2(x-1)=3

Q: Solve for x. log, (x- 3) =1– log, (x- 6) If there is more than one solution, separate them with…

A: Using the properties of logarithmic functions, it can be written that logab+logac=logab×c. If…

Q: Find a formula for the exponential function passing through the points (-3,5858) and (3,40). Solve…

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Q: 1. Solve the following equation for r: log, (15x + 12) – log,( - 2) = 2

A: Given equation  log6(15x+12)-log6(x-2)=2 To find the value of x

Q: Solve for x : log, x = 4

A: Here we use basic logarithmic properties to solve the given equation

Q: Solve for the inverse fonction of flA)= log (4)- domain and range of both f and f

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Q: Solve the following equation: 1 log, (15-4n)=

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Q: Find a formula for the exponential function passing through the points (-2, and (2, 32). y =

A: Topic- exponential function

Q: Solve the following equation for x. log(4x+170) = 2

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Q: 9. Solve for x in the equation log, e+ Inx = 4. A) x = 2+ /3 B) x= 3+ /2 C) x=3± /3 D) x= 4+ /3

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