Find the exact value of the expression 91/ln 3

Q: Simplify the expression.   ln 2 - ln x + ln 3

A: Given: Log 2 - log x +log 3

Q: Use a calculator to evaluate the expression ln√31. Round your result to three decimal places.

A: Our Aim is to use a calculator to evaluate the expression ln√31.

Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log8 x

A: Given expression is By using base change formula, we have Therefore,

Q: Calculate without using a calculator ln(e3) + ln(e4)

A: According to the power rule of logarithm, ln xa=aln x.  Use the power rule of logarithm to simplify…

Q: Write as the natural log of a single expression: 5 ln(x1/2) + ln(9x)

A:

Q: Solve the equation for x. 2 ln x = 7

A: Given equation is: 2 ln x=7 We have to solve for x.

Q: Simplify the expression.  eln 3-2 ln x

A: the given expression is: eln3-2lnx we have to simplify the given expression.

Q: solve for X   ln ( 782 / X ) = 40700 /4.184 (1 / 342 - 1 / 373)

A: First we simplify the right side.LCD of the denominators inside the bracket is 342x373. After…

Q: Find an approximate value of ln20.

A: e3=20.0855369232  We will use this to approximate ln(20)   Let us take a function f(x)=ln(x) And…

Q: What expression is equivalent to ln e12

A: We have to write the expression which is equivalent to ln e12

Q: Simplify the expression. ex ln 2

A: Consider the expression ex ln 2. In order to simplify this expression, use below rules b ln a= ln…

Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: Calculate without using a calculator. ln 1

A:

Q: Express as sums or differences of logarithms. log yz *(Show your usage of the log properties.)

A: We have to the express given logarithm eqution

Q: Express in terms of sums and differences of logarithms. 5. log c°d P.

A:

Q: Approximate x to three significant figures.

A: Logarithm is the exponent or power to which a base must be raised to get a given number. For example…

Q: Rewrite in exponential form. ln(d) = n

A: Given expression is                    lnd =n we have to write in exponential form. ln denotes…

Q: Calculate using change of base(to nearest thousandth): log4 8.12

A: log48.12

Q: A certain forest covers an area of 5000 km“. Suppose that each year this area decreases by 4.75%.…

A: Given: A certain forest covers an area of 5000 km2. Suppose that each year this area decreases by…

Q: Find the hourly wage for a person with an income of $44762, who works 54 hours a week for 47 weeks.…

A: Here we have to find the hourly income of a person

Q: Use a calculator to evaluate each expression. Round your answer to three decimal places. ln 133

A: For x > 0, a>0 and a≠1 loga x  = y , where y can be any real number which implies  x = ay   If…

Q: write the expression as thelogarithm of a single quantity ln x + ln 7

A: Given expression: ln (x)+ln 7

Q: Determine whether the following statement is true or false, and explain why. (ln 3)4 = 4 ln 3

A: We know that, ln an=n ln a ; n is an integer

Q: Solve the given exponential function f(x) = 62x if x = 0.75

A: Substitute the given value x=0.75 into the function f(x)=62x and simplify:   f0.75=620.75…

Q: Calculate without using a calculator. ln(e3) + ln(e4)

A:

Q: The change-of-base formula states that log, x can be written as a ratio of logarithms with base a as…

A: We have to change the base of the given logarithm  we have,  logbx

Q: write the given in ter ms of 3 to any base log f64 A.

A:

Q: - In 8 e³ -5 ln(

A:

Q: What is the ln of 1/time if the time is 359.4 seconds?

A: SOLUTION:-

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

A:

Q: The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is  R = 1/817.…

A: The carbon model is given by R=11012·e-t8223           ................[1] Given that:R=1817 put in…

Q: Evaluate ln( – 0.003). Give your answer to 4 decimal places. - In( – 0.003) -

A: Topic- Function

Q: Find the exact value of each expression (without acalculator.)  ln (1/ e)

A: Given: ln1e

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 1225

A: Given, ln(1225) Express this in terms of ln(5) and ln(7)

Q: Solve for x accurate to three decimal places   ln x = 2

A: Given: lnx=2 we know that if lnm=n then m=en similarly, lnx=2x=e2x=7.3890x≈7.389

Q: What is the value of ln ( e8)?

A:

Q: Use a calculator to approximate the exponential expression to 4 decimal places. 2 (Round to four…

A: Given: The exponential function e4

Q: Approximate x to three significant figures.

A: Given that, log x=1.8965 We have to find an approximation for x up to three significant figures.

Q: Solve for x accurate to three decimal places.

A:

Q: 2. Find the root Op 3x-logio

A: Given,         3x-log10x-8=0

Q: please could someone solve this for x -415000 =8.314* 1073* ln x

A:

Q: Approximate x to three significant figures.

A: The natural base of the logarithmic function is 10. The given equation is solved using the concept:…

Q: Find the exact value of each expression (without acalculator.)  e -2 ln 5

A: We have to find exact value of expression: e-2 ln5 Applying logarithmic property m loga=logam for -2…

Q: Evaluate logarithm ln 1

A: We need to evaluate ln(1)

Q: Approximate x to three significant figures.

A: Given : log x=0.9469   Convert the given log into exponential  equation  log…

Q: Suppose that a population is 3000 at the beginning of 1980, and that it grows at 8% a year. What is…

A: Given:  Population is 3000 at the beginning of 1980, and that it grows at 8% a year.  To Find:…

Q: Convert: ln 30= 3.4012 to an exponential equation

A:

Q: Express the ratios in as ratios of natural logarithmsand simplify. log9 x/log3 x

A: Consider the provided expression, log9xlog3x Simplify the provided function. Apply the logarithm…