Q5. Find z (1) 3 log, 2+log, 25-log, 20 = log (2) logą z + logs (2-3) = log, 10 (3) Inz-10.1285

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Solve for x in terms of k. log5 x + log, (x + 5) = k. X = Find x if k = 5. -(5-5sqrt(501))/(2)

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Q: Express x in term of y if: log,xy =2 +2log,x -3log,y

A: Given that:  log4xy=2+2log4x-3log4y We have to express x in the form of y.

Q: Express in terms of logb 2 / logb 3 / logb 5 logb .55555555555555555 =  logb 2.5 = logb 4/9

A: We have to solve the logarithmic

Q: log(1 + (2y/x) + (y^2/x^2)) + 2logx, simplify and state restrictions

A: The expressionlog(1+2yx+y2x2)+2logxThe propertieslog(mn)=logm+lognnlogm=logmn

Q: 3. The solution set of = 4 is log, Vr+ 2 21 B (-3) C (2) D (-3 2)

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Q: Use the power property of logs to condense. 3log_(8)(c)-log_(8)(n)+3log_(8)(a)

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Q: Find the value of what comes log,(x-1)-2 log.(x-1) +loga(x-1)/(x+1)

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Q: Choose the letter of the log form that is equivalent to y = 2x+1 A. log2y = x + 1 B. log 2 x+ 1 C.…

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Q: Q10. The solution set of the equation log, 2log,, 2=log4, 2 is

A: Introduction :

Q: Find x so that 4 log,x=log, 81-log, 128 +log, 4 7.

A: We have to find x

Q: Salve the equa aem log3x = 4log35 – log38 ) log5x + log5(x + 1) = 2

A: Domain of logarithmic Function is always greater then 0

Q: Gwen that Log (y-D+Log and Log, Cy +1) + Show that 4?=1+82 and find The 2/- Log,x=7-1 y² Possible…

A: Given, log4y-1+log4x2=z....1log2y+1+log2x=z-1....2 Now, solving (1) we get,…

Q: shouldnt g^-1(f(x)) equal 3log2(X)-6 ? (the 2 after log is a subscript)

A: We will find the inverse function.

Q: Which of the following equals (log, x)' ? Multiple Choice y log, x x. log, y (log, y) (log, x) (log,…

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Q: m(x)=log,(x+2) - 5 after it has been horizontally shifted right 7 units and vertically down 1 unit?…

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Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

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Q: Student A (2logx+logx') Step 1 Step 2 Step 3 Step 4 (log+log) (log) logx¹5 15 log x Student B…

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Q: 5. [ACS] Determine the following values: (a) Log(i) (b) Log(1 + i) (c) Log(√3+i).

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Q: If log, 2 = x and log, 3 = y, evaluate the following in terms of x and y: 4x+2y a) log, 144= (b)…

A: Here, given that logb2=x, logb3=y

Q: Find the exponential function y=Ce^kt That passes through the two points

A: Step 1:To find the exponential function y=Cekt  that passes through the points (0,2) and (4,3), we…

Q: Differentiate the function by using logarithm (1 – 10x) Vr? + 2 ( + 10 10 (1–10z)V²+2 ((1-10.r)…

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Q: Given L(-4, 3) and M(-7, -2), what is the length of LM?

A: Length of a line joining two points(x1,y1) & (x2,y2) is given by,  L=(x2-x1)2+(y2-y1)2

Q: Interpret the coefficient on the variable log (libvol). Would you say it is better to attend a…

A: 1. The coefficient of libvol is b3, meaning for every 1% increase in number of volumes in the…