Q8: Compute the following CLR 2- Obj. 4 a. Express in 3' =2187 in Logarithmic form b. Write log;1/81= -4 in exponential form Find the value of In200 C.

Q: 74. 56=15625

A: As we know the logarithmic property; logbxa=a·logbx where x,b>0, b≠1   The given expression is:…

Q: 5. Simplify the following expression: eln(3-x) +log 10*-6 – Ine-10r+25 +10og

A: Simplify: eln3-x+log10x-6-lnex2-10x+25+10logx Concept: i. alogan=nii. logaan=n

Q: condense the following expression into a single logartithm whose base is 4.  3log4X-log2Y+2

A: It is a logarithmic problem

Q: asb b? =In 2. %3D (3

A:

Q: - x4 - x3 + 7x2 + x – 6 using descartes rules

A: Definition used – Descartes’ rule – Using this rule we can find the number of maximum possible…

Q: . Use the change-of-base formula to write (log, 5)(logs 9) as a single logarithm.

A: For natural logarithms the base is e. This is the most commonly used base for logarithm. Another…

Q: Simplify the following into a single logarithm: 4 log(3) - 1 log(z) 4 3 O log 1x O log (4 3 r) O…

A:

Q: Express the following as a single logarithm and, if possible, simplify. log a(c - d) + log a (c + d)…

A: we have given logarithmic expression  And we have simplify.  For this we can use the properties of…

Q: (2/2) +60 poock (

A:

Q: The Log 6 = a. log 3 + log 2 b. 2 log 3 c. log 32 d. log 3 x log 2

A:

Q: Describe the tranformations. y=/x+2|+2 Left 2, Down 2 Right 2, Up 2 Left 2, Up 2 Right 2, Down 2

A:

Q: Write the following sum as a single logarithm. Assume all variables are positive. And please…

A:

Q: .Condense the logarithmic expres 3 log5 3x + 2log5 (x - 2)

A:

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

A:

Q: 3. x²+1 log(- x2-1

A:

Q: 1. Rewrite each logarithmic expression as an exponential expression. a. log4(2x) = 3 b. log 1= 0 c.…

A: We need to write log expression into exponential expression.

Q: 1. Use the change of base formula to compute b. log; 5 a. logs 6 Ad. log 7 c. log3 7

A:

Q: Write as sum and difference of simpler logarithms. 1. In *(r-2)s V3x-4

A:

Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

A:

Q: Simplify the following into a single logarithm: 4 log(3) 3 log(x) O log (4:2) 3x log (4.3.x³) log…

A:

Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)

Q: Sondere ebch exprO sSn to G sngle logarithm 3. 2. 3. + log qfu + lay a to 3.

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.