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

Q: Given that log x= 4 and log y = 1.5 , find the value of log (x²y)

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Q: Given loga(m) = 10 and loga(n) = 20, find loga(mn2). (Enter an exact number.)

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Q: (log a)* d.x 1+x²

A: Given ∫0∞logx41+x2dx we can write the above as…

Q: Find f'(x) if f(x)=   and then simplify

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Q: Given that log x -3 and log y = 5, find log Vy.

A: The given expression is logx2y35 and logx=3   and   logy=5

Q: Given log3 2 = m and log3 5 = n , express in terms of m and/or n.  a) log20 450

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Q: x] is a O log 2

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Q: Evaluate / dx (x+2)²–49 O None to log() x-5 x+3 log() -5 x+7 ts log() x-5 x+9

A: We have to evaluate: ∫dxx+22-49

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: Given log x3= 0.4771 and log x7= 0.8451, find value of log x 49/3 ?

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Q: Solve the following: log, (x-2) + log, (x ) = 1

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Q: Solve for x in log,(x+1) + log4(x – 1) = log4 15 . A. x= 5 В. х3 4 C. x= 14 D. x= 3 or x = 1

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Q: Express the solution in exact form. log 4(x - 5) + log 4 (X – 5) = 1 O A. {7} О в. {-26, 26) O c.…

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Q: Solve the following logarithms and find X. 1) log, 36 = X 2) log, 1 = X 3) log 10 = X 4) log X= -1…

A: Here we will use the formulas as logaa = 1log ab = b loga   1) log636 = Xlog6(6)2 = X2 log66 = X2(1)…

Q: Find x. (A) log x=2.9723 (B) log x= -1.8703 (C) In x = 2.8593 (D) Inx= -1.3709 (A) x = (Round to…

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Q: If log, (8) z 0.7 and log, (7) z 0.6, find the approximation of log,(448) =

A: Follow the procedure given below.

Q: log x – 3 log y +;log x – 2 log w

A: Given,log x-3 log y+12log x-2 log w

Q: 1 3 log, (x²) + log, vx

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Q: og (x2 + 2x - 8) = 2 + log (x + 4)

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Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: Given the following equations, find x log(x – 3) = 3 b. In(x - 2) = 5 – In(2x + 1) c. log2 ) = 3 +…

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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: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

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Q: Solve for x and check for any extraneous roots. log (x + 15) + log (x) = 2

A: We have the following logarithm rules: 1) logc(a) + logc(b) = logc(ab) 2) logc(x) = y => x = cy…

Q: Solve the following equations. log, (2.x – 3) = 3 4 In(3.x) = 8 log x = log(1-x)

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Q: What is h′(x) when h(x)=log 7 (8x+4 / x 6 7 x)?

A: Consider the function

Q: Find the solution of the equation, correct to two decimal places. log2(x+2) + log2(x−1)= 2

A: We gonna use log properties to sole this problem log m + log n = log mn  loga x = y  => x = ay

Q: Simplify the following expressions into Single Log: I. 2 + logs (x*z2)– 3 log5(zx)?

A: To simplify- The above expression. Identity Used: 1.logm·n=logm+logn…

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

Q: Solve the following equation for X log(x+2) + log(x-1)= 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: (а) е" =D1 %3D (b) log(x – 3) + log(x - 6) =

A: Given that: (a)ex2-9=1(b)log(x-3)+log(x-6)=1

Q: Given 2 log3(x + y) = 2 + log3x + log3 y, show that x² + y² = 7xy.

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Q: given log 2=0.3010 and log 3=0.4771, evalute log 6

A: It is given that,

Q: Consider the functions f(x) = 4*-2and g(x) = 34x. Solve f(x)=g(x). Express your solution in terms of…

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Q: 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…

A: Use the exponent rule of logarithm to write 3 as exponent.

Q: 2. 2 log x – 1 = log(x-1)

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Q: using

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Q: The value of x for: log. (e) +4g(9 =x'log(10) is:

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Q: given log y+3 log(x+2): REWRITE as a single log

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Q: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

Q: Solve the logarithmic equation for t. ln(at + b) = c if a ≠ 0

A: To solve the given logarithmic equation.

Q: Given that log x=2.5 and log y = 4 , find the value of log (yx)

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Q: Solve the following logarithmic equation: K•3 B-5 log2(x – K – B – 3) = log2 (x + K + B – 12) %3D

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Q: For a X2 equals to 20, compute and compare the values of Y for log(X1) equals to 0.250 and 0.500.…

A: Given: logY=-0.6838+0.5921*logX1+0.0394*X2

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