Find the value of x given ()" = log,4" -2/3 125 %3D 64

Q: dy (x² + 1)? if y = 2) Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

A: Here we have to find the the derivative of y

Q: Find the largest value of x that satisfies: loge (2) – log,(r + 1) = 6

A: Use the properties of logarithmic function, to rewrite the given equation.…

Q: Find the integral: log7 X dx = %3D

A: Solve the following integral

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

A: It is given that, log10(2x+x-41)=x(1-log105)   Here logarithmic properties are going to be useful to…

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

A: Given :            loga y5 w2x4 z3  To express loga y5 w2x4 z3 in terms of logarithms of x, y, z…

Q: How long does it take for $3725 to double if it is invested at 8 % compounded continuously? Round…

A:

Q: Solve for x in the following equation: 4.7 = -log(1.76 E -5) + log (x / 0.16)

A: This question is based on properties of logarithm.

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A:

Q: snip

A: The exponential function and the logarithmic function is strictly increasing functions for x > 0.…

Q: $9450 is invested at 9.0 % compounded continuously. How long will it take for the balance to reach…

A: Amount invested, A0=$9450Rate of interest, r= 9%=0.09

Q: How long does it take for $1800 to double if it is invested at 9.5%compounded continuously? Round…

A: Use formula of compounded continuously

Q: pproximate, to 6 decimal places, the value of log2(log 99.2) by linear approximation.

A:

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: ( 3x+log; x dx = ? ||

A:

Q: Express log x Vy/z in terms of logarithms of x, y, and z.

A: Express log x4y2/z3 in terms of logarithms of x, y and z.

Q: S (log æ + – 5x) dx =?

A:

Q: Differentiate the function Y = logi5(x° +1)

A: Differentiation of logax is defined as dlogaxdx=1xloga Chain rule of differentiation states that…

Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x –…

A: Brief answer is given below.

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: A person places $66800 in an investment account earning an annual rate of 1%, compounded…

A:

Q: The APY for 6.5% compounded continuously is %. Give answer as a percent rounded to one decimal…

A:

Q: How long will it take for $25000 to grow to $42000 if invested at 5.5% compounded continuously? use…

A: Given,

Q: A person places $419 in an investment account earning an annual rate of 9.2%, compounded…

A: Given that P= principal initially invested=$419 annual rate = r =9.2%=0.092 Time=t =20 years find…

Q: find the deliva tiva dy for the function by using logarithmic

A: Derivative.

Q: How long will it take $7,000 to double if it is invested at an annual rate of 6% compounded…

A: To find the time to double initial amount of $ 7000

Q: Find the solution of the equation, correct to two decimal places. log2(x+2) + log2(x−1)= 2

A: We gonna use log properties to sole this problem log m + log n = log mn  loga x = y  => x = ay

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: Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How…

A: Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How…

Q: = log z in the regio

A:

Q: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

A: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

Q: 2. 2 log x – 1 = log(x-1)

A:

Q: loga (M/N ) = _________ - ____________ .

A: We know Division property of logarithm is, when we divide two values with same base, we subtract the…

Q: d -log(z) = dz (Z

A:

Q: Solve the equation for s. log (4 + r) = log (3s - 2)

A: Given- log (4 + r) = log (3s - 2) To find:- Solve the equation for s.

Q: Solve the following equation for x:  log(x+1) + log(x+3) = log (x+7)

A:

Q: Create the exponential function in the form f (x) = a(b)* that fits the two data points given:…

A: Given query is to find the exponential function.

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.

Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

A:

Q: d -log(z) = dz z O O 2- 1

A: We need to differentiate the function log(z) with respect to z. Differentiation is the process of…

Q: 00 dx 2- So V- log x

A:

Q: Solve for æ: log(x) + log(r + 1) = ||

A: We have to find the value of x from given equation.

Q: Find d/dx(4^x). Type ln(x) for the natural logarithm function.

A:

Q: Find the RMS value of / logx over the range x = 1 to x = e

A:

Q: log3 (x°. VY16)

A: Given,         log3x9y163

Q: log X +1 Rind R'a (x) %3D

A: Inverse of function problem....

Q: Solve for x (to four decimal places) in each of the following: (0.26) log25) (4x- f) (414)x (1/4)*+3…

A: (f) The given expression is,