If the graph of a logarithmic function f(x) = log, x, where a >0 and a + 1, is increasing, then its base must be larger than

Q: Find the domain of the logarithmic function :  f(x) = ln(x2 - x - 2)

A: Inside log we can not have negative number. So, x2 - x - 2>0

Q: A person places $1690 in an investment account earning an annual rate of 7.2%, compounded…

A:

Q: If log2 X = 5, what is ln X?

A: topic - logarithmic function

Q: Prove that In x lim I xP for any number p > 0. This shows that the logarithmic function approaches o…

A: Given

Q: If the graph of a logarithmic function f(x) = loga x, wherea > 0 and a ≠ 1, is increasing, then…

A: Since in logarithmic function value should be positive. Therefore, in fx=logax the value of x must…

Q: given log10 x = 2 and log10 y = -1. show that xy-100y2 = 9

A:

Q: In(x-글) + In(2) = 2 In(x)

A: Please refer the attached image for complete solution. THANK YOU.

Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: Given that a and b are real and unequal and that logab + logba2 = 3, find a relation between a and b…

A:

Q: The graph of every logarithmic function f(x) = loga x, wherea >0 and a ≠ 1, passes through three…

A: Points for the logarithmic functions can be found with the help of the arbitrary points. Put such…

Q: What is the solution set for x in the logarithmic equation of log3(x-9) - log3 x=3

A:

Q: Find the domain of the logarithmic function f(x) = ln(x - 1)2.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 2. Why is it not necessary to know the value of "a" to determine the value of loga(-1)?

A: Given logarithm, loga(-1)

Q: In(x + 1))

A:

Q: condense to a single logarithm with a leading coefficient of 1  -log base b(1/2)

A: condense to a single logarithm with a leading coefficient of 1  -log base b(1/2)

Q: 4. Find the domain of the log function. y = In((7 – x)(x + 10)) Use a sign chart.

A:

Q: Find the domain of the logarithmic function.

A: We need to find the domain of the given logarithmic function.

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 the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: Find the domain of the logarithmic function : f(x) = log (x - 2)/(x + 5)

A: given: f(x)=logx-2x+5 we have to find the domain of the function. as we know that the domain of the…

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: Graph the logarithmic function. g (x) = 2+ log; x Plot two points on the graph of the function, and…

A: Given: y = 2+log3x

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A:

Q: Find the domain of the logarithmic function : f(x) = log(7 - x)

A: Domain of any function is defined as the value of x for which the function is defined - Given…

Q: If log(x + 13) + log(x – 13) = The value of æ is

A:

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Find the domain of the logarithmic function. f(X) = In (x² = x-6)

A:

Q: in X

A:

Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

A:

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

A: The given expression is logax3wy2z4

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√2

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

Q: The graph of g(x) = -log4x is the graph of f(x) = log4x reflected about the______ .

A: Given that graph of f(x)=log4x and g(x)=-log4x.

Q: Find the domain of the logarithmic function : f(x) = ln(x - 7)2

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Deduce the relationship between y and x from the graph shown. log(y) 3.7 0.7 log(x)

A: The general equation of a line in two-point form is: where x and y are variables of horizontal and…

Q: Find the largest value of x that satisfies: log6 (x2)-log6(x+1)=6 x=_________

A:

Q: Given that the point (35,6)is a point on the graph of g(x)=log2(x)what is the corresponding point on…

A:

Q: After examining the graphs of several logarithmic functions, you should see that there are…

A: Solution

Q: For a logarithmic expression log, x, b cannot be less than 1. True False

A: Please refer the attached image for complete solution.

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: Since the data obtained as a result of 10 observations of an experiment is ∑ log niXi = 8.2431, what…

A: The geometric mean of this experiment is, G=Antilog∑logniXin=Antilog8.243110=Antilog0.82431≈2.2803

Q: Why is  the logarithmic function  not defined for negative values of x, thesoftware can produce only…

A: The definition of logarithmic function is, logbx=y⇒by=x The output value of exponential function by…

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: Solve the logarithmic equation for x. In x = 10

A: The logarithmic equation is given as In x = 10 The objective is to find the value of 'x'.

Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at…

A: Slope of the tangent line is the derivative of the given function at the given point. Now…

Q: A person places $1690 in an investment account earning an annual rate of 7.2%, compounded…

A: Given that: P = the principal initially invested = $1690 r=the rate of interest=7.2%=0.072 t=time=8…

Q: Find constant A such that log3 x = A log5x , for all x > 0.

A: To find the constant A such that the below equation is true for all x>0.