4. Solve each equation for z. log,(r-6)- log, r = 1

Q: 14. Solve the equation: log3 (x + 1) + log;(2r – 3) = log, 9

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Q: Q5. (Log,3)= a); xin & Cost (1 ²)dt

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Q: (11) Solve the following logarithmic equations: (a) log, (3x)- log,(6) = log,(77) %3D (b) 9 + 6 In…

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Q: Find the largest value of x that satisfies: loge (2) – log,(r + 1) = 6

A: Use the properties of logarithmic function, to rewrite the given equation.…

Q: Q2: Solve the Logarithms Equation. logtan nx (2 + 4 cos?nx) = 2

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Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…

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Q: 23. Solve for x: a) log, (x- 5) + log,(x - 2) = 2 b) 5*+2 - --2500

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Q: log, 49 = 2/3

A: As per given by the question,  The given logarithmic function is, Logx49=23 Now, Finding the value…

Q: Solve the following: 1 (ii) log, (x+3) =1-log,(x-1) r-6 (i) 2" 8.

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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: 4. Solve the following equations. Round answers to two decimal places. vv & vrrv a) log, (2x – 1) –…

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

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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: Solve the following equation for x. log, 81 = 4 O 20.25 9 324 0 3

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Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

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Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: Find a formula for the exponential function passing through 2 the points (-1,=) and (1,10) y =

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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: 12. Solve the following equation * 3 poin log, x + log, (x -9)= 2 O 12 О 3, 12 О з 8. O -8 O -2, 8 O…

A: We use the formula logam + logan = loga(mn) logab = c    →  b = ac

Q: 2-Solve the following logarithmic equations a) Log, 2 – log 4 x +7/6=0 b) 2 + 5(3*) =3(32*)

A: logx2-log4x+76=0log2logx-log4x+76=01logxlog2-log4x+76=012logx2log2-log4x+76=012logxlog22-log4x+76=01…

Q: D. Solve for the following logarithmic equations 1. Inx = -3 2. 2logx = log 2 + log(3r 4) 3. logs(x…

A: As per our guidelines we are supposed to answer only first three sub parts of the question. Kindly…

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

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Q: Solve the following logarithmic equation. log(r - 10) = log(20) %3D log, (10)

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Q: (c) Solve for x given 1≤log, (x-6) ≤3.

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Q: 4. Find all the values of z for which each equation holds. (a) Log(z - 1) = -i.

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

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Q: (a) Solve the following: 1 (i) 2-6 8. (ii) log, (x+3) =1– log,(x–1)

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Q: Solve the following logarithm problem for the positive solution for x. 1 log, = -2 %3D 49

A: x=?

Q: 9

A: We need to solve

Q: Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

A: Given: log2x-2=logx+1+log4 Now by using the logarithmic property, loga+logb=loga·b…

Q: b. (3e* C. z? – 2z = log(-2), Calculate the value/s of z

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Q: 10) Solve the following. log2 (x + 1) = 3+ log2(x + 2)

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Q: using

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Q: Solve the following logarithmic equations. a. 〖log〗_3 (x-4)+〖log〗_3 7=2 b. log(3x-13)=2+log⁡x

A: The explanation of answer as follows

Q: Solve for a: 1 = 1 log4 a 1 1 + + log, a log, a ?

A: Given,          1log2a+1log3a+1log4a=1

Q: 7. Solve each equation for y. [Leave final answers in a simplified exact form or an approximate…

A: Given, (a)  ln4y +5  = lny-1  (b) 5-3log4x-3 = -4 We have to solve the equations

Q: Solve the following equation: log,(2x) = log,(2) + log,(5x – 1). %3D X =

A: GIVEN: log7 (2x) = log7 (2) + log7 (5x - 1)

Q: Solve the following exponential and logarithmic equations: a) log3 (5x - 4)=4 b) log(x-5) +…

A: Part (a) Given:

Q: Rearrange this equation to isolate A. H = K + log A =

A: Here I am attaching image so that you understand each and every step.

Q: In the equationf (x) = e* In(11x) – e**+* + log(e6x*), find f '(3). %| -

A:

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: 2. Solve the following equation for r. log2(2.r + 3) – logz(r + 4) = 2

A: Use the properties of logarithm to solve this problem.

Q: 16.Solve for x: log, (2x+ 4) – log, (x-7) - 3 Find the equation with following roos : 17. a) – 2±5/2

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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: 11. 5+ log, (n + 1) = 8

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Q: Find the domain and solve: 1 x= log, x = 3 27

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Q: Solve the following equations: (a) log x 2 = log(x + 4) (b) 4 3x−1 = 72x+3

A: (a) We have to solve logx2=logx+4 Use logarithmic property logm=logn⇒m=n Hence,…

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

A: