Write as a single logarithm: 3 log, x - 2 log, 5 log, y.

Q: Use y = log, (2) a %3D

A: Given parent function is: y=log3 x We have find the equation corresponding to the given graph of the…

Q: Write the expression x- y log7 49z in terms of A = log, x B = log, y %3D and C = log, z

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Q: Write as a single logarithm: log r² V5 – log rs² + 1

A: Product property of logarithm: Quotient property of logarithm: We know that,

Q: Express as a single logarithm. 3log6x + 5log,(x - 6)

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Q: Find the value of: log, ) + log_ (4)► log,

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Q: Pls help

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Q: Write as the log of a single quantity: {[3logx + logy - log5]

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Q: Write as a single logarithm  log(4)+log(x)+1/3log(y)-2log(2)

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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: 5log. (x) – 7log, (xy) – 3log,(z) -

A: Answer and explanation is given below..

Q: 1 21. log, x + 2 logsy = .

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Q: Solve for x. log, (-5x+8)= 1

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Q: ewrite as a single log. log,2x+3(loga X- log.y)

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Q: Solve for c: log, (9z + 2) = log, (x + 4)

A: Given: log29x+2=log2x+4

Q: Write as a single logarithm: 4log3(x)-log1/3(y)+3

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Q: Write as a single logarithm. 2 – log(x)

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Q: Combine into a single logarithm.

A: 32log2x-y-2log2x2+y2

Q: Express as a product. - 9 log M

A: We know that                             loga xm = m × loga x

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

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Q: Write y=x+ in logarithmic form

A: Using the properties of the logarithmic functions, we can write that: log ab=blog alogab=log blog a

Q: Solve for a positive value of x. log,(x) = 2

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Q: Expand each logarithm using the properties above. b) log, Vx²yz

A: Given: We need to solve log2x2yz3.

Q: Find x using logarithmic rules. 2.6x = 4x+1

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Q: Combine into a singel logarithm 3/2In(x-y)-2In(x^2+y^2

A: Recall: lnmn = n lnm lnmn= lnm+lnn lnmn= lnm-lnn

Q: Write as a single logarithm: log(4x - 3) - log x.

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Q: ху Write in terms of x and y: log (x. Vxy

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Q: Write the expression as a single logarithm. 1 - log, z+4log, w- log,y

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Q: Condense the expression into a single logarithm. log, (w) 7 log, (x) – 2 log, (y) 3

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Q: Which expression is equivalent to log, 2?

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Q: 2log, x-log, y+log, z

A: Follow the procedure given below.

Q: Write as sum and difference of simpler logarithms. 1. In *(r-2)s V3x-4

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Q: . Write in exponential form log, y=x oluob.a nd

A: Write in exponent form

Q: Solve for x log, (9x +30x + 25) 8

A: Given  log29x2+30x+25=8 First convert this expression to exponential form The question is of the…

Q: Write the expression as a single logarithm. 1 3 log, x- - log, y+4 log, w Jogn

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Q: )Solve for y in terms of r. log, y = log, r – log, 10 + log, 6

A: Given, logby = logbx - logb10 + logb6 Solving the above equation using the properties of logarithm

Q: Write as a single logarithm and simplify. In(x+1) + In(x-1)-2lnx

A: Hh

Q: Use the Law of Logarithms to combine the expression: 3(log, (x)+3 log,(y)– 4 log,(z))

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Q: Write as a single logarithm: 2log25-7log2y+2log2x

A: Consider the given logarithmic expression 2log25-7log2y+2log2x

Q: Differentiate y=3*log*

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Q: Solve for x. -8+ log, (x+4)=-6

A: Given -8+log5(x+4)=-6 Or, log5(x+4)=8-6=2 Or, (x+4)=52  [since loga(x)=m, then x=am] Or, x+4=25 Or,…

Q: Write as a single logarithm: 1/2 log x + 6 log (x - 2).

A: The given expression is 12logx+6logx-2 To write the given expression as single algorithm. Solution:…

Q: 4 log, x 3 log, Y

A: The given question is from the topic of Logarithm

Q: Find the value of y from log, y = - O-3 -/3 -/3

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Q: Solve for x log, (49x) = 4

A: Logarithmic function.

Q: Solve for x: log,(6) + log,(x) = log,(12)+log,(x – 1)

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Q: Write as one logarithm: 13ln(x−1)−12ln(x+1)+2lnx.

A: The given expression is 13ln(x−1)−12ln(x+1)+2lnx   Apply log rule:…

Q: 3 log, (zVx. y)

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Q: Expand each logarithm. log, (r . y - 2')

A: Given,           log3x·y·z3

Q: Find x when log,x = 1

A: Given : log2x = 1