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

Q: 4 Vrite the domain in interval notation of log. ( ), where c > 0. 2-3x,

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Q: If log, (4x + 6) = 3, then x = %3D

A: Given:          log2(4x + 6) = 3   To find x

Q: evaluate the Following 'F log p = X and log q=y, x and y. In terms

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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: Express the following log expression as a single log with a coefficient 1: -12log5^x+2log5^y=

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Q: if a=log m and b=log k . what is log m6/k7 ?

A: Given,            a =log m and b = log k

Q: Express the below expression as one single log. 3 + 0.5log, x + 0.5log,y - 3log ,z

A: Given,3+0.5log3x+0.5log3y-0.5log3z

Q: The value of 34 log, V3 is 68.0 O 136.0 O 17.0 O 0.0 O 34

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Q: If log,b = x³ and log,(÷), determine the value of x by showing all steps in using the appropriate…

A: logab=x3b=ax3

Q: Use the change of base formula to find b if In 5 log, 5 : In 15

A: To find- b

Q: S(x) = log, (4x + 11. Find /"(2).

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Q: The domain for the LOG function does not include which of the following. O 0 negatives O 0 or…

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Q: Evaluate the following: log, a Find y in terms of x for In(y+1)=2– 3 In.x

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Q: Suppose that, for a certain real number b > 0, log,(3) = 2.53 and log,(5) = 4.21 Find log,(45) 1…

A: Given:  logb3=2.53   and logb5=4.211) logb45=logb9×5we know that log(ab)=loga +logbThen…

Q: If log, (3x + 4) = 5, then x =

A: Log2( 3x+4)=5. using the definition of a logarithm:- for any positive real numbers x and b, b≠1,…

Q: If f(x) = log, x, show that -f(x) = log1/a x. %3D

A: Given, fx=logax To prove, -fx=log1ax

Q: Given y = log, 16. The value of y=

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

Q: The value of 40 log, V7 is O 80.0 O 160.0 40 O 20.0 O 0.0

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Q: The unwritten base of log(x) is and the unwritten base for In(x) is

A: Here is the solution

Q: Let f(x) = log, (8x? 3x + 10). Find f' (x).

A: Differentiation wrt x

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

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Q: If f(x) = log x, then f' (x) = 1/xln10

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Q: Show that loga(M/N) = loga M - loga N, where a, M, and N are positive real numbers and a ≠ 1.

A: Here given equation loga(M/N) = loga M - loga N

Q: If f(x) = log(x), find f(10−5)

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Q: If VA= B, then log a B =. --

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Q: Suppose log, (3) = m, log. (5) = n, and log.(7) = z. Find the following: d) loga v7 e) log, (49) f)…

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Q: -Given that p log, 5, q log, 2 express the following in terms of p and/or q. log, 0.625

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Q: Find x when log, a = 2 О а. 0.5 O b. 8 O .2 O d. 4

A: Given, log2x = 2  We have to find the value of x

Q: find log(z) where z=-1-3i.

A: Given:      z=−1−3i

Q: Show that loga ( 1/N) = - loga N, where a and N are positive real numbers and a ≠ 1.

A: To Show: loga1N=-logaN, where a and N are positive real number and a≠1. Concept: i.…

Q: Apply the change of base formula to approximate ead value to four decimal places. a. log, 8 12.4 =…

A: Note: logcblogca=logab. For (a),     log0.812.4=log1012.4log100.8=-11.28285 For (b),…

Q: Recall the change-of-base formula. log,(x) log,(a) log,(x) =

A: Explanation and solutions is given below....

Q: Find f'(x) if f(x)= logb (10)

A: Given function is which is constant function. We know that , derivative of constant function is 0.…

Q: Condense the following log expression. -2log3(xy)+4/5log3(z)^10+log3(x+1)

A: Condensing the logarithmic expression.

Q: 2. Given p = 2' and q = 2', express log, p'q in r and t terms. 64

A: Given

Q: Given that log 30.933, log 4 1.177, and log,71.653, find log b 4 log bb (Type an integer or a…

A: Given: logb3≈0.933, logb 4≈1.177, logb 7≈1.653

Q: O Use the change of base formula to approximate log, 73 by using e. Round off to 4 decimal places.

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Q: If log, 1 a =– and log, vb =3x², show that x = - %3D 6

A: logba=1x  →1  &  logab=3x2  →2

Q: Find log,o x: 10a /0.1 10

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Q: Given that: toge C4-1)+ Log4 )=Z and Log, Cyt1)+LogE2= Show that 42-1+8² and find the Pessible…

A: We are given: log4y-1+log4x2=Z⇒log4(y-1)x2=Z⇒4Z=(y-1)x2Now,Z=1⇒(y-1)x2=4⇒(y-1)(x)=8 ---(1)Also we…

Q: Finds so that lik Use the log

A: We know that: lnAB=ln(A)-ln(B)       and        ln(ab)=bln(a)   Also, we know that: limx→01+x1x=e…

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: If log(a)=2, log(b)=−3 log⁡(c)=14, evaluate: log(10a/bc3 )

A: Use the below logarithmic properties to evaluate the expression

Q: Find x when log,x = 1

A: Given : log2x = 1

Q: Let f(x) = log,(6x - 5). For what value of b is f'(1) = 6? %3D !! b =

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

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