Express log in terms of A, B, C, where log 2 = A. log 3 = B. and log 7 = C. 2A 2B 1 OA+B-1 ОА+2B -1 2A+ B-1

Q: Express using a single log            2Log a2 – Log b – 2 Log a2b + 2Log b

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Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

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Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: - Express as a single log. 3 log4 x + 2 log4. log4 y - Show your work

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Q: Let a = ln2 and b = ln3. Use the log properties to express the value ln72 in terms of a and b.

A: By using logarithmic property, we express the given logarithm.

Q: Express the following using a single log: 3Log ab2 -Log a2b - 4 Log a/b - 3Log b2

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Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: log V48

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Q: Express given logarithm in terms of a and b: If log 2 =a, log 7=b, then log 56

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Q: 2. a) Express log, 3 in terms of a logarithm to base 3.

A: We have to express

Q: Suppose log, 3 = 15 and log, 5 22, find: d) log, e) loga a c) log, 1

A: Given that

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

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Q: Show that, log(-1+i)² + 2log(–1+i).

A: Use the formula logz=lnr+iθ. To find log-1+i2:…

Q: Express in logarithmic form for the base. ab= N

A: Given, ab=N Aim: express in logarithmic form

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: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

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Q: Write as a single logarithm. Express coefficients as powers inside the logarithm. 6 In(x) + 3 ln(y)…

A: Here we need to write the given expression  6ln(x)+3ln(y)-7ln(z)-5ln(w) as single expression.

Q: Express using a single log2Log a2 – Log b – 2 Log a2b + 2Log b

A: The given expression is as follows:2Log a2 – Log b – 2 Log a2b + 2Log b

Q: Find the domain and solve: log,2,/2 -x

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Q: The solution of log-(9+ x) = 2log7 8 is O x = 73 O x = -55 O x = 16 O a = 55 O x = -1

A: Logarithmic functions.

Q: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

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Q: Use the laws of logarithms to expand each expression. (a) log10(x*y³z) 4 log (x) + 3 log(y) + log(-)…

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Q: Use log, 20.401, log, 30.565, and log, 50.842 to approximate the value of the given logarithm to 3…

A: Given,

Q: Express as a single logarithm log, * + 3 log. (G) - log, x 국)-loga

A: LetL=log4x2+3log4(y3)-log4x45Apply log rule:   alogcb=logcbaL=log4x2+log4(y3)3-log4x45Apply log…

Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

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: log, (1- x) = 4

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Q: Solve for a: 1 = 1 log4 a 1 1 + + log, a log, a ?

A: Given,          1log2a+1log3a+1log4a=1

Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z…

Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: Show that, log(-1+i)² # 2log(-1+i).

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

Q: 6. Use log, 10 3.322 and log 8s 0.903 to approximate the value of the expression. log, 100

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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: Express p in term of q if: log,p -log,q =1

A: We have to express p in terms of q.

Q: Express as a single logarithm and, if possible, simplify. Inx-7[In (x- 4) + In (x + 4)]

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Q: Given that log9 b-2 = log3 a, express b in terms of a

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Q: Write as the natural log of a single expression:(a) 2 ln 5 + 3 ln 4 (b) 5 ln(x1/2) + ln(9x)

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Q: Use the fact that: loga (x) = -3.4, loga (y) = 4.3, and loga (z) = 6.2 to evaluate the following:…

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Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

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Q: Write the expression as a logarithm of a single expressio numbers. log, m- log, n +5 log, k

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Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of and b

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Q: Express log 45 in terms of A, B, C, where A = log 2, B = log 3, and C = log 7. 2A B 2 A+ 2B 1 A+2B+1…

A: Given  A=log 2, B=log 3, and C=log 7 We have to express log 45 in terms of A, B, C.

Q: Express as a single logarithm and if possible simplify

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Q: Combine each to a single logarithm. In(r + 4) a) 3 log(r + 2) – 2 klog, (r – 1) + log, (z – 2) b)…

A: Here we have to combine each of the following to a single logarithm.

Q: Suppose that A is a number with log(A) = 1.352. What is the value of %3D log(1000A)? *

A: we have to find