Question 3 (i) Given that log, x+2log, y = 4 show that xy =16. Hence solve for x and y the simultaneous equations: log, x+2log, y = 4 %3D log10 (x+ y)=1 (ii) A student obtained the following: 3 credit course A 2 credit course В 1 credit course Calculate the student grade-point -average В (iii) If 10 men in a company have an average annual salary of GH¢360,000 and 23 women have an average annual salary of GH¢285,000, find the mean salary of all 33 employees

Q: The solution of log x + log 3 = 2log 4 - log 2 is: Ox O = 2 0x = ²/²/² 0x = 1/1/12 X co/00 x=== // X…

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Q: B2. b. Determine whether each situation involves a permutation or a combination. then find the…

A: a) This involves both permutation & combination. Reason : At first we have to choose 3 people…

Q: # 20-21: Round answers to the nearest hundredth. 20) If $1500 is invested at a rate of 4.5%, how…

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Q: Solve algebraically. 23. 3 2x+1 - 10 3* + 3 = 0 24. (log x) 2 + log (x) = 8

A: Given, (23) 32x+1 -10.3x +3 = 0  (24) log8x2 + log8x2 = 8  We have to solve the equations…

Q: 4. If p = a + b + c a. Determine the range of g(x) = e b. If aa = bb = c . -12x-11 ab log.(ab) _ bc…

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Q: 5. If log10 2 = 0.3010, then find log10 200.

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

Q: 15 loyy o4=x 16 og 2 243: 2x+l 64=7

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Q: = (2n + ²2 ) πi (b) log i 2n + лi (n = 0, 1, 2, ...);

A: We can write i in the form of exponential function.

Q: 1) (20 pts) If log, = X, express log, in terms of x 2) (40 pts) Simplify and find the value of 1 1 1…

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Q: The solution of the equation Log(-z4 +2) = i2n is 1, -1,i, -i. 1+ i,1-i. O None of them O -1-i,-1+i.…

A: Given equation, The aim is to find the solution, for

Q: 3. (a) Write crammers rule for three equations in three variables. (b) Show difference between…

A: Apart from Gaussian elimination, Cramer's rule is a very significant method in finding the solution…

Q: 6. 10logx =

A: Solving the problem by finding the value of the expression.

Q: lator: log, (81 9 est tenth: 12* = 38

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Q: The solution of the equation Log(÷z4 + 2) = i27 is %3D 4 None of them O 1,-1, i,-i. • -1-i,-1+ i. |…

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Q: Express in terms of sums and differences of logarithms. m²p3 log b n69 2logbm 3logpp - 5logbn + 9…

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Q: 5+5 =64x-1

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Q: What is the logarithmic equation with base 4 that contains the points (0.125, –2) and (8, 3)?   y =…

A: To find:-The logarithmic equation with base  that contains the points

Q: State the domain and the range of f(x) = log10 (-4(x - 12)) +5 Domain:{ ER 3}, Range: {y < R}…

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Q: 3y +6 (b) Given 2x*3 = 3y*2, use logarithms to find the value of 2x +6 correct to 3 decimal places.

A: We have to solve