Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

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

A: According to guidline, 1st are solved

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A:

Q: Condense 4log x -[3x log 2- 4 log(x + 2)] 4.

A:

Q: Find y' of y = log5(4x + 3)

A: Given that

Q: Show that S log(sin x) dx = -log 2.

A: To show that ∫01logsinπxdx=-log2 using the given figure.

Q: 5. Given that log 2 = x and log 3 = y, express log /54 in terms of x and y.

A:

Q: Differentiate. y = log 5 (1 + 2x)

A:

Q: Write log, x + log, y as a single logarithm with coefficient 1.

A:

Q: Given y = log3 (3x – 2) , what is -

A: y=log3(3x-2) To find: dydx

Q: Differentiate. y= 11* . log 7x dx (11*. log 7x) =O

A: Given that

Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve…

Q: Find the value of y:  logy32=5

A: Given, expression

Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

Q: Express as a single logarithm. 2 log 9- log br

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

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

A:

Q: Find the solution set for log3 2+2.log, x=|

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Q: y = x² log2( 4*)

A: given function :

Q: Express as a single logarithm. log H+ log Z

A:

Q: Express the quantity as a single logarithm.

A: Given 13lnx+23+12lnx-lnx2+3x+22 The properties of logarithm used here are…

Q: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

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

A: The given expression is logax3wy2z4

Q: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: 2log x-1=log(x-1)

A: Given:  2logx -1=log(x-1)we know that alogb =logba   then 2logx=logx2Then    logx2-1=log(x-1)…

Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

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: Solve the following logarithmic equation: log2 (x – 3) + log2 x – log2 (x + 2) = 2. - -

A:

Q: Express as a single logarithm with a coefficient of 1: 1/2 logb x - logb(x2 + 1).

A: logmt-logms=logmtsa logmn=logmna

Q: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

A:

Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: Use logarithms to solve. e2x – ex – 56 = 0 - -

A: Given: e2x-ex-56=0. To find: The solution of given equation.

Q: Find a number x such that log3 (5x + 1) = 2

A: We have to find x

Q: Expand the log by using the properties of log.

A: The given log function is,

Q: Solve for x: given log(17x – 3) – log æ = 1 -

A:

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

A:

Q: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

Q: Solve for x. -7+ log, (x+3)=-5 %3D 5 ?

A:

Q: What is the simplified form of 4 * log_3(y) - 6 * log_3(x) + 7 * log_3(z) ?

A: Find the simplified form

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: Differentiate. y = 10 log 3X %3D d dx (10*. log 3x) =D • log

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Q: Solve the equation for x. (log 6x) (log 61296x) = - 3

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Q: Differentiate y=3*log*

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Q: simplify into a single log: log(x+5) + logx - (2 log y)

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Q: Solve for x. Log 10x=3

A: The given logarithmic equation is log 10x=3.

Q: 4 log, x 3 log, Y

A: The given question is from the topic of Logarithm

Q: If log (x + 7) – log, (7x) = 4 then enter your answer for æ as a fraction in its lowest form

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

Q: express as a single logarithm. 6 logb^x-logb^y

A:

Q: Express th equation in exponential form.

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

Q: Differentiate. 10) y = 7X 11) y = 14-X 12) y = log4(2x)

A: