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

Q: Find t if -t//25 = e Ans 296.4

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

Q: a) log₂ (x + 5) + log₂ (x + 2) = 2 b) 5(x-2) = 3(3x+1)

A:

Q: 2) Solve log 48 = log (x + 7) + log (x - 1) Be sure to verify solutions and show if there are any…

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Q: A) √9-x2 (7) According to the method of partial fractions, C) -1 DY (x-1)(x-2)(x-3) D)3 = (x-1) + B…

A: If the expression of the partial faction after simplification is of the form:px+q= A(x-a)(x-b)…

Q: Convert the following into an equivalent expression: (log -> exponential) a) p+2 = 4log₂ (2q³-1)+1…

A: The given expression,(a) (b) The aim is to find the equivalent expressions.Note: Since you have…

Q: (a) log₂ 11 + log, 4 = log₂ 7 (b) log₂-log,₂3 = log₂ 1 (c) log -2log₂ 25

A:

Q: Express th equation in exponential form.

A: a). Given, lnx+1=2 The exponential form is, x+1=e2         ∵lnx=y⇒x=ey⇒x=e2-1

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

A:

Q: 4) 19-17-log₂ (2x+4)

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Q: A) 4 2 (9) The derivative of 2sin-¹x (2sin-1x) In 2 A) √1-x2 B) is: 2sin 1x √1-x² (2sin 1x) In 2 C)…

A: The given problem is to find the derivative of the given function.Given function,2 sin^(-1)x

Q: b) 125x+2 = c) 73x+1 = 5.x d) 2(5)* = 3x+1 1-5x

A: To solve the following equations.Note: Since, the student has posted a question with multiple…

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: (19 In Matlab the folCan be written as: g log 10(exp(1)^(1/3)-sinh(4*x^5)/2)lowing equation' 19) In…

A: First I refresh you about the mathematical symbols in  Symbol Operator ^ Raise to the power *…

Q: 5. Determine if the following are true or false. loga logb _a) log = logx – 3 logy d) log %3D 3 _b)…

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Q: 3 1og, Lx-1)+Log24=5

A:

Q: Sketch on graph a) y = 2x-3+ 3  b) y = log2 (x – 4)

A: a)

Q: Example 2: Solve the following equations for x. a) log, 30x-log₂ 5 = log₂ 12 b) log (2x+1)+log(x-1)…

A:

Q: = SCADX (40x e**²-5) dx 1. S[(GN=51) 10 Jax = log2 (OXP²41) 6X 7- ² 105_ [ [10CC (1014 4X²-5 8. 5 e…

A: Note:  As per our guidelines we are restricted to solve more than 3 subparts of a problem.…

Q: log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9…

A: Using Log(xy)=log(x)+log(y) And log(x^a)= a log(x)

Q: xquis 1+4 3 & Wä

A: The given expansion is:                                                         ∑n=1∞-1n+1sin nxn