Express as a single logarithm. 3 log bt- log bS O A. log t° + log s О В. Тoд b Oc. log, (° -s) 3t O D. log þ

Q: (a) log,(5x – 1) + 6 = 9 (b) 163x+1 = (4)*-1 %3D (c) In(x + 6) = In(11) – In(x – 4)

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

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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: If loga = logx – 2(logy + logz), then a is equal to O Ax-y²z? В. Х v²z? O C.x-2y+2z OD. X 2y +2z

A: given,

Q: ses / ECONT003 | SZ 19/2 Solve the following equation 2 log,(2x): = log4(x² + 75). A. x = 7 B. x=15…

A: The given logarithmic equation is as below.

Q: (1) log r'y (3) log VV

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Q: d) log, V5 e) log, () f) log, a

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Q: dz dz +y дх = 50 +x4°y+y5° ), Prove that x ду If z= log (x50

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Q: 1. Which of the following is equivalent to y= log, x ? (1) y = x' (3) x= 7" (2) x = y' (4) y = x%

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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: Express as a single logarithm. 5logbt-logb S + logb V - 4 logbu 1) logb 1/2 215 15 v1/2 ) 2) logb…

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Q: Find the solution for x: log (Vz+1+1) log V- 40 -3

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Q: Differentiate g (†) = 4 log, ( t ) – In ( t )

A: Given g(t)= 4log3(t)-ln(t) Now we have to differentiate g(t) as shown below

Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

Q: Determine y′(x) if y(x)=(4x^3+6)^sinx.  Enter an exact answer in terms of a natural logarithm.

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Q: Find the solution set for log3 2+2.log, x=|

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Q: Express as a single logarithm and, if possible, simplify. 3 1 ww 2 In 4x In 2y 30 5

A: Given: The logarithm expression 32ln 4x6-15ln 2y30 To find: Simplify the given expression as single…

Q: 8. Express as a single logarithm and simplify if possible: log x + 4 log y – 2 log z A. log 3(술x +…

A: Our Objective is to simplify.

Q: , Find the solution for x: log (Vz+1+1) log V- 40

A: See the details solution in below

Q: Condense to one logarithm: 7 log, æ – 6 log, y + 5 log4 z Which answer is correct? A log (7x + 6y +…

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Q: Find the solution for x: log (vz+1+1) log Vz- 40

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Q: x* + y* ди ,showthat ди + y- 3 If u(x,y) =log х+у ду

A: For the given  u(x,y) =log(x4+y4x+y)

Q: Express the following logarithms in terms of ln 5 and ln 7.e. ln 0.056          f. (ln 35 + ln…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Condense to one logarithm: 7 log4 x – 6 log4 Y + 5 log4 z Which answer is correct? (A log (7x + 6y +…

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Q: Differentiate: V=log, (x'+x)

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Q: Over rough uneven terrain, the log wind profile is expressed as In (금) v = vo 0.4 In () họ 0.4 With…

A: Use derivative

Q: Solve for r: log(z + 4) – log(z+3) = 1 You may enter the exact value or round to 4 decimal places

A: Since the question has multiple questions but according to guidelines we will solve the first…

Q: B. Convert to an exponential equation. 1. log, T =x 2. t= log, 7 3. In 0.38 =- 0.9676 5. log 0.01 =-…

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Q: (b) / 5 (2 cot 5")(1 csc 5 ) dr 11 2 log r (c) dr 2 rV6 log r- log

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

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Q: Which expression is equal to log a + log y – log 2? log yz O log (æyz) xy log () Olog 1. xyz

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Q: Differentiate the function T(z) = 2z log2 z.

A: The given function is,

Q: Suppose log, (x) = 2 and log, (y) = 5. Find the following: d) log.(V) e) log, (x + 2y) f) log,(y")

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Q: log,(c) = m

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Q: log, y

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Q: 7. Find y'. y = log, (9– x-x)

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Q: 2. Rewrite in terms of a single log (condense): (15log. (x) + 10log. (v)]– 7[3lo9. (x) + loga (v)] 5

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Q: 4 log, x 3 log, Y

A: The given question is from the topic of Logarithm

Q: Solve for z: log(z + 5) – log(z + 3) = 2 You may enter the exact value or round to 4 decimal places.

A: The equation to be solved is logx+5-logx+3=2   The properties of logarithm to be used are as…

Q: b) Given that log, (y-1)+log,|| |= z and log, (y+1)+log, x = z-1, Show that y? =1+8² and find the…

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Q: (B) 3log,(x)-4 log,(y) – log, (z)

A: The detailed solution is as follows below:

Q: log 4z a tall var I

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Q: y = log,(x + 3)

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Q: log x? - log ry +4 log y

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Q: If r (x) = log(x – 3) and s(x) 2 log x, which function represents (r + s)(x) ? |

A: It is given that, rx=logx-3  and  sx=2logxWe have to find the value of r+sx

Q: 1. Find for the following functions : dx 2x (ans.: 3x' log,( 3 – 2x)-’ (3–2x )In 2 45) y=x' log,(3–…

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Q: Express as a product. log A (y)

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Q: t(z)= 2z log2z  , t '(z)?

A: