Given that log3 (x) = y, find the value of log3 (/27x). a) (3+ y) ○ b) 긁(3+ y) O0금(27 + y) O d) 3x (3 + y)

Q: Solve log,x + log2(x – 2) = 3, for x > 2. %3D

A: According to guidline, 1st are solved

Q: 2 Find x so that log10 x = log, 10

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Q: Express in terms of logarithms of x, y, z, or w.

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Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

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Q: Find the value of x satisfying log,, (2×+x– 41)=x (1 – log1,5).

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Q: 2 Solve log, (2 sinx) + log,(cosx) =-1, for 2n<x<-

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Q: log2(7x+2)=2, then x=

A: Given:- log2(7x+2)=2,  To find:- Value x

Q: If x2 + y2 = 25xy . Then prove that 2 log(x+y) = 3log3 +logx + logy

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Q: 8. Solve the equation log (3x+1)-log 2 = log11 for the value of x.

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Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: Estimate the error in the value log 2.7 obtained from the following dată.

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Use property of log

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

A: We have to express

Q: (a) In (x (b) log; 2y2

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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: 1 (log, x)' 3x ise b =?

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2…

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Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log9 x…

A: Use the log property to simplify the left side of the equation log9 x+3 log3 x=14. Use property…

Q: Express in terms of logarithms without exponents. logb(x3y9z) What is the equivalent expression?…

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Q: a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

A: Given, a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

Q: Express in terms of logarithms of x, y, z, or w.

A: The given expression is log3xzy

Q: Express th equation in exponential form.

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Q: 6. If log y-2 and xy-27, find the values of x and y.

A: Given query is to find the value of x and y.

Q: 43. (log3 x)2 - 3log3 x = 10 noituloe adi aamizoq

A: According to our terms and conditions I have solved first question for next question repost

Q: Determine whether the equation, log(x + 9) - log(x + 1) = log(x + 9) / log(x + 1), is true or false.…

A: Given that: The equation is log ( x + 9 ) - log ( x + 1 ) = log ( x+ 9)log ( x+ 1) . Statement :…

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

Q: Express in terms of logarithms of x, y, z, or w.

A: The given expression is logax3wy2z4

Q: 5) log, (x + 8) - log,

A: Solve the given equations  5.log3x2+8-log38=5

Q: log, (x17 3 ,17

A: Given expression, log3x17 y173

Q: Express in terms of logarithms of x, y, z, or w.

A: lnx y4z53 =lnx +ln y4z53 =lnx +ln y4z513  ln y4z513 =13ln y4z5 =13ln y4-ln z5 =134 ln y-5 ln z =4 ln…

Q: Express in terms of logarithms of x, y, z, or w.

A: Known fact:log mn=nlog mlog mn=log m-log nlog mn=log m+log n

Q: Find a formula for the exponential function passing through the points (- 2, 250) and (1, 2) f(x) =…

A: We have to find a formula for the exponential function passing through the points (-2, 250) and (1,…

Q: Determine whether the equation log4(2x3) = 3 log4(2x) is true or false. Where possible, show work to…

A: Given equation - log42x3 = 3log42xTo identify whether the equation holds true or not, let's solve…

Q: Express in terms of logarithms of x, y, z, or w.

A: We have to express in terms of logarithms of x, y, z or w: log3xyz We know the properties of…

Q: How is the logarithmic function (x) = log2(x) related to the exponential function g(x) = 2×? The…

A: Given, fx = log2x gx = 2x

Q: How is loga x defined?

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Q: Determine whether the equation is true or false: log6(x - 1)/(x2 + 4) = log6(x - 1) - log6(x2 + 4).…

A: Consider the given: log6x−1x2+4=log6x−1−log6x2+4 Solve Right Hand Side: log6x−1−log6x2+4

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: We have to Answer only Question (2) as stated. We know that,

Q: Solve for using the definition of logarithm: (logx+29)- 2=0

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Q: Differentiate. Solve using log properties. log2(e^xcos pi x)

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Q: Determine whether the equation is true or false: log4(2x3) = 3 log4(2x). Where possible, show work…

A: Given information: The log statement, log42x3=3log42x. We have to show the equation is true or false…

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. Evaluate [log(-1-/)(-2- j2)] tan(4 + 3i) cosh-1

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Q: Express th equation in exponential form.

A: (a) Given expression is log35=x. Express the above equation in exponential. logab=c, then…

Q: Expand loge x in powers of (x- 1) and hence evaluate log, 1-1 correct to 4 decimal places.

A:

Q: .show that log3n x = log3 x.Hence solve the equation log31 x + log3 x + log3 x = 13 n

A: We solve the given problem.

Q: solve, log(x)+log(x+1)=2 . please show work.

A: using the  formula logm+logn=logmn

Q: Express single logarithm: log; x + 2 log, y – 3 log; z as a

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