3(log, x) = 6 logg X %3D Select one: O True O False

Q: r cos? TI Using the properties of the natural logarithmic function, expand In Vr? +1

A:

Q: Find dx by first using algebraic properties of the natural logarithm (x+7)(x + 8)³ (x + 2)°(x + 3)°…

A:

Q: If loga = logx – 2(logy + logz), then a is equal to O Ax-y²z? В. Х v²z? O C.x-2y+2z OD. X 2y +2z

A: given,

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: = (5+ cx*)** y=(5+6x*) (tan(7x)° 312 hint log.differentiat use %3D

A: logab=bloga ddxtan2ax=a sec2 ax

Q: 2. Evaluate, using the laws of logarithms. 2 43 log4 64 x V64* 46 256 +log,

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: The given logarithmic equation is:  log z5xy3

Q: Which of the following represents the domain of h(t)=−log(x)+3?   (2,∞) (−2,∞) (−∞,∞) (−∞,0) (0,∞)

A: Given function :

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A:

Q: Differentiate g (†) = 4 log, ( t ) – In ( t )

A: Given g(t)= 4log3(t)-ln(t) Now we have to differentiate g(t) as shown below

Q: If log, (8) z 0.7 and log, (7) z 0.6, find the approximation of log,(448) =

A: Follow the procedure given below.

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Use property of log

Q: how is  (a^loga(y))^c the same as y^c? (image)

A: Given that a statement  ac.loga(y)=alogayc=yc Prove the given statement.   The formula used are the…

Q: Determine if the following statement is true or false. – log (:) log y log x - True False

A:

Q: Evaluate the following using a method of your choice. ( JY a) log, 625 = b) log,2 + logʻ32 =

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: I. Find the natural logarithm of the following when z equals: 1. –10 2. –3 – j4

A: The general form of a complex number is given by z=a+jb, where a and b are real numbers and j=-1.…

Q: s (x+1) log(x+1)

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: Prove: logaxr = r loga x.

A: Given equation: loga xr=r loga x

Q: Use log, 2 0.335, log, 3 0.542, and log, 5 = 0.778 to approximate the value of the given logarithm…

A:

Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,

A:

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

A:

Q: 2 log , x + 12log, y

A:

Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

Q: Find the value(s) of x for which the equation is true. log(x + 3) = log x + log 3

A: We have to find the value of x for the given equation: logx+3=logx+log3 We know the properties of…

Q: 5) Show the proof that loga M" = r· loga M

A:

Q: (b) 8[log(2-j3)]e

A:

Q: log2 28

A: We have to express the logarithm in logarithm with base 10 and solve

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: log (a.b) = log (a) + log (b) log (an)= n.log(a)

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

A: Given,

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: logan=nloga   logab=loga-logb

Q: log 3)

A:

Q: d) logr hint: use 2" inequality logx 0 n=1

A:

Q: B. Convert to an exponential equation. 1. log, T =x 2. t= log, 7 3. In 0.38 =- 0.9676 5. log 0.01 =-…

A:

Q: (ii) Form the PDE by elimınatıng arbitfary log z=a log x+ V1-a' log y+ b

A:

Q: log is equal to log a + log y + log z. True O False

A: Given expression is: logxyz On simplifying further we get: logxyz=log(xy)-logz…

Q: (а) е" =D1 %3D (b) log(x – 3) + log(x - 6) =

A: Given that: (a)ex2-9=1(b)log(x-3)+log(x-6)=1

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

A:

Q: Use log, 2 0.327, log, 30.542, and log, 5 0.835 to approximate the value of the given logarithm to 3…

A:

Q: log, x + log, y+ 6log, -

A: Using Rule's of Logarithm

Q: question b

A:

Q: log is equal to log r + log y+ log z. O True O False

A: Explanation: Given that: Concept used:

Q: given log y+3 log(x+2): REWRITE as a single log

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Now,  we will expand the logarithm using logarithm formula.

Q: (b) Find the value of x: log ; x - log ; Vx = log 9- log ; 3

A: Basic concepts: remember these properties:

Q: If x= log a and y=logb then log Vab’ is equivalent to: (1) Vx+y' () (3) Зу) (2) Jäy (4)

A: We are asked to find the equivalent expression.

Q: Use log, 3 z 0.5869 and log, 5 z 0.8598 to find an approximate value for V5 logb 9

A:

Q: If loga ( a17 y13 A log3 x + Blog3 y then %D A = %3D

A:

Q: 3 x4 Vx2+1 Differentiate y = (3x+2)5 (Hint: Take the natural log of both sides first)

A: