allog (y ta)=log(yta) -Log1a

Q: Solve the equation for x. log2(log2(x)) = 3

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Q: Solve the equation

A: To solve the equation: logx2=log-3x-2 Solution: We know that if logax=n then x=an. Property of…

Q: Use common logarithms to solve the equation for x in terms of y.

A: Consider the given function as y=110x+10-x

Q: State the four algebraic properties of the natural logarithm function.

A: Algebraic properties of a natural logarithmic function - (1) ln1 = 0(2) lnab = lna+lnb

Q: Solve for x by converting the logarithm equation log1\7 (x)=2 to exponential form.

A: We have the formula, loga(b)=m, then b=am

Q: メリメニ+5 (xtw) 2. 713

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Q: Solve y = log5 x

A: Our Aim is to solve y=log5 (x) -(i)

Q: How is the logarithmic function y = log a x defined?

A: To define the given logarithmic function.

Q: Suppose loga 3 5 and log, 7 = 9, find: a) log, 21 b) loga 49 c) loga

A: Given  loga3=5 and loga7=9

Q: Graph y = loga 2 as a function of a over the interval 0 < a≤ 4.

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Q: What is the exact value of log3 9?

A: We have to find the exact value of the expression: log39 We know the properties of logarithm, m…

Q: Write a logarithmic equation corresponding to the graph shown. Use f(x) = log2(x) as the parent…

A: Given ,  We have to write  a logarithmic equation corresponding to the graph shown.Use f(x) =…

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

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

Q: Solve for x by converting the logarithmic equation log1/7 (x) = 2 to exponential form.

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Q: Solve for x by converting the logarithmic equation to the exponential form. log(x) = 4 x=_____

A: log10x=4⇒x=104⇒x=10000

Q: Solve for f using natural logarithms. 6P = Pe041 Round your answer to three decimal places.

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Q: Solve for t using natural logarithms. 11 - 9' = 5- 2' Round your answer to three decimal places.

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Q: y = a log, (x - h)+k a = 1 -10 h = 1 -10 b = 2 -10 k = 1 -10

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Q: Express the equation in logarithmic form.

A: For the exponential equation q=pz , its logarithmic equation is written as logpq=z . On comparing…

Q: Express the equation in logarithmic form. (a) e+-0.4 (b) 0.3x-t

A: To express the given equation in logarithmic form: a) ex+3 = 0.4 b) e0.3x=t

Q: y= log10 (3x2-5)

A: To calculate the derivative of function y =log10(3x2-5)

Q: Solve for x by converting the logarithmic equation to exponential form. log (x) = 4 %3D

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Q: The value of log; v8 is 2

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Q: Solve the logarithmic equation for x. log,(9 – x) = 2 - log,(-x) 3D2 6

A: We need to solve for x.

Q: Express the equation in logarithmic form. (a) ex = 6 (b) e2 = y

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Q: find the value of log (-2)

A: Introduction: Many mathematicians utilised logarithms to convert multiplication and division…

Q: Identify and sketch the graph of the equation in R³. x = 1 − log₂ y

A: This is a problem related to graphing the function. Based on the general formula and concept we will…

Q: Write the exponential equation as a logarithmic equation. xY = z

A: Properties of logarithmic function. loge mn= n loge m logax=logexlogea

Q: Solve for t using natural logarithms. В - Ребrt Enter the exact answer.

A: Given equation is Solve the given equation for the variable ‘t’

Q: Solve the logarithmic equation for x. logx = -2

A: Given logx = -2

Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

Q: x tan (x2) da =? 32+log3 * dr =?

A: Given, ∫0π4 xtanx2dx  ∫3x+log3x dx   We have to evaluate the integrals

Q: Find dg Using Logarithmic differentation y =3 2x +1

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Q: Draw the graph of y = 3x, then use it to draw the graph of y = log3 x.

A: y = 3x and y = log3 x.

Q: Find the hydrogen concentration of tomatoes If Its pH Is 4.5. (Hint: pH =- log H*])

A: find the concentration oh hydrogen by using the apply logarithm property

Q: Solve for t using natural logarithms. 6P = Pe0.3t

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Q: State the domain and the range for Y = log10(x)

A: We use the definition of loga(x), to find domain and range of Y=log10(x).

Q: Express the equation in logarithmic form. (a) ex = 7 (b) e4 = y

A: Take log on both sides of equation, .

Q: 7 log, (u5)

A: We need to evaluate the value of the following expression log557

Q: (1 logr - 2 4

A: Problem is related to logrithmic properties

Q: Use the Laws of Logarithms to expand the expression. log, (xy)?

A: Given : log7xy2

Q: 4 log, x 3 log, Y

A: The given question is from the topic of Logarithm

Q: Convert to exponential form: log = y : 10 ||

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Q: log;X + (Arcsin5x)³ b. w = + (Arcsin5x)³

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Q: Draw the graph of y = 4x, then use it to draw the graph of y = log4 x.

A: Graphs of two functions which are inverses of each other are reflections of each other in the line…

Q: fel-=(e² + 2² + =)dz=? (e is the base of natural logarithm).

A: Let given integral is equal to I

Q: Solve the logarithmic equation: log, (x + 1) + log, (x – 1) = 2. Round to the nearest tenth if…

A: Given logarithmic equation is log5x+1+log5x-1=2

Q: 4 log a + y log

A: 4 log a +y  log c To condense the given express we apply logarithmic properties m log (a) = log…

Q: Find the domain and the range: y=log3(6-4x)

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Q: y=log3x2

A: