12) logb xy2 64

Q: 4 If log,(x + 1) – log,x = 2, then x equals: F H

A: It is logarithms problem.

Q: Solve for x. 0=log (base 5)x

A:

Q: Solve : log z + log 8 = 1

A:

Q: D log (xag) + log (xl)

A:

Q: 9. 8) logx -2 4. 3. I|

A: we have to find logx34=-23

Q: 9. (x) = log(1-2x)

A:

Q: ii) 2 log, (x)– log2 (3x – 4) = log, (x – 1) – 1

A: We make the coefficient 2, exponent inside the log.  And for 1 we replace it by log22 because…

Q: Express as a single logarithm. 5logbt-logb S + logb V - 4 logbu 1) logb 1/2 215 15 v1/2 ) 2) logb…

A:

Q: 1 14) log, 3 + 2 log, 25-log, r 15) log x + log 5 = 2

A:

Q: 8. Use the laws of logarithms to expand In in terms of sums, differences, (cos x)(x +1) and…

A: Some properties of logarith m are :(i) ln(a b) = ln a + ln b(ii) lnab = ln a - lnb(iii) ln ab = b l…

Q: 17. log (x² + 3) - log(x + 6)

A:

Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: 1 7(t) = Vt + 8

A:

Q: 2. Misalkan CR adalah lingkaran dengan pusat di titik asal dengan jari-jari R > 1. Buktikan Log (z2)…

A: Here we show that ∫CRLogz2z2dz<4ππ+lnRR

Q: 9.1) How would you compute log(4531.2) using a table with inputs between 1 and 10? Can you explain…

A:

Q: x² 6 + ,X log (x² + 7)(x³ – 5)² -

A: Laws of Logarithm:

Q: 11) 2 log(2)-4log(b)

A:

Q: 15. Solve log5(5 – 3x) - 2log5(7 + x) = 1 %3D

A: We can find the answer as below

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: loga(B) + loga(C) = loga(BC) loga(B) - loga(C) = loga(B/C)

Q: 11. If c, then x is equal to a logc – loga logb logc loga +logb logc +loga logb loge logb - loga

A:

Q: 19) Solve log(x) + log(x – 12) = log (13)

A: I have given an answer in step 2.

Q: 4. (a) Use logarithm properties to expand In ( (@+5)(x – 6)² (x+ 3)3). (b) Rewrite log3(x) + log3 (y…

A:

Q: (b) 2log(x – 3) – log(x – 1) = 0

A:

Q: 4. What is b if (log, x)' :? Зх

A:

Q: 7 log.y- log, w+4log.z 5

A: on applying log algorithm we will get

Q: 4. S(x) = log,(-x)

A:

Q: 2. In (x + 2) + In 2 = 3 | 4. log:9 – logs (x+ 10) = 1 6. log, (x² +3x) – log, (x + 5) = 1

A:

Q: #12. SOLVE THE EQUATION а. log (x²) = (log x)² 1 or 100 b. log Vr – 9 = 2 V 10,009 С. log (x³) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 10. Express 17* as a power with a base of 2. log2 log 17 b. 2 4 log 17 log2 d. 2 a. log, 17* c. log,…

A: As we know from the logarithmic property; logaxb=b·logax, where x,a>0 & a≠1   Let, 174=2x…

Q: 19. If log,2 = x and log34 =y, then log372, in terms of x and y, is equal to O 2x +2y O 9x +9y O 9xy…

A:

Q: 7. Use properties of logarithm to expand In (y³z²Vx – 1)

A: Property of logarithm

Q: 9 log, x = 2 4

A:

Q: 17. Solve log3 (5z +1) > log;(3z +1)

A:

Q: 5. y = log(7x + 3). 4²x¹+8

A:

Q: 4. Solve the following logarithmic equation: log; (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: Here, Z=9k=5

Q: Compute 3 In(e) +2 log(10) 7 11 1 9. 3. B8

A: Solve by properties of logarithm.

Q: 9 Find if log e x= 5

A:

Q: Solve for x:   logx=0.328 logex= 1.627  log2 x=6 In x= 0.444 x=antilog 3 -antilog 2  if base…

A: We will do algebraic manipulations along with applying the properties of log & antilog And in…

Q: Solve : log z + log 2 = 1 10 100 2. O = 2 T -1 1. -

A: We have to check

Q: 7. If logab = x³ and log, (÷), determine the value of x by showing all steps in using the…

A: Given logab=x3 and logb4x2 Now, logbc=k. Then, bk=c           . . . (1) Applying this rule here,…

Q: 1 1 1 The value of ....+- log, n log,n

A:

Q: Expand and simplify: log4(xy^5/z^4)

A: To simplify the below logarithmic expression

Q: 9. -2 8) logx 4 3.

A:

Q: 4 In2 log2 x 1-

A: At first we will change base of log2x to natural log by using base change formula. Then use…

Q: (7) (7 pts) Solve the equation. log(x – 2) + log(x+3) = log(6x)

A: Here given as logx-2+logx+3=log6x

Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

A:

Q: log,(x – 5) + log,(x + 3) = 1 In(5x) + In x = In(100) In x + In(x – 1) = 10 In(x + 25) – In(x – 1) =…

A:

Q: 17) log 5 625x8y6 z3

A:

Q: 13 1. Solve 2 log, (x + 4) – log2 ( 2.x + 2 = 1 -

A: Given,2log2x+4-log22x+132=1 Used Properties: 1. logaxy=ylogax                            Power…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.