2 log 66m² + log 6 36m? 2

Q: (B) 3 log, (2x – 5) -8= 7

A:

Q: 4. Solve for x. a. Log, 81 = 4 %3D

A:

Q: 4. Solve log2 2x + 2 log2 x = log2 60 – log2 4. %3D

A: Concept : properties of logarithm                   c loga(b) = loga( bc )…

Q: 4 log(2?) + 7 = 11

A: We have to find the value of x.

Q: Tog 4(6x+ 7)= log 4(6x+2) O A. (0} O B. ОС. (5) O D. Ø

A: The given equation is i) log4(6x+7)=log4(6x+2)ii)2+log3(2x+5)-log3x=4

Q: Solve 2 log3 1x + 42 - log3 9 = 2

A: We can solve above logarithm function using log rules,  log m -log n = log mn 2log m = log m2

Q: 13 Solve 2 log2 (r+ 4) – log2 ( 2x + 2 %3D

A:

Q: Solve for x in terms of k. log5 x + log, (x + 5) = k. X = Find x if k = 5. -(5-5sqrt(501))/(2)

A:

Q: 3r7 log 2 z3

A:

Q: log 12 = ? A. log 3 · log 4 O B. 4 log 3 2 log 2

A: Given  What is log 12 =?

Q: b Log 40/9 + 2 (2Log 5 + Log 6) = 5

A: Logarithm value

Q: 9. Solve for x. You do not have to evaluate- leave in log form. a) 3x+4 = 63x-1

A: To find the value of a variable from a equation which present in the exponent of a number then we…

Q: O Solve. 2 – log7(x) = log7(x – 48) 4.

A: Add log7(x) to both sides then use the multiplication rule of logarithm

Q: log(x? - 2) + 2 log 6 = log 6x %3D

A:

Q: Solve for t. log 6 t= 2

A: Given query is to find the value of t.

Q: True or false: -3 is a solution of log; 9 = 2 logs x..

A: A solution of a logarithmic equation is a value for which both sides of the logarithmic expression…

Q: Find the value of log2 3 . log3 4. .. . logn (n + 1) . log n+1 2.

A: Given: Find the value of log2 3 . log3 4. .. . logn (n + 1) . logn+1 2Formula: logab×logba=1

Q: Q2: Solve the Logarithms Equation. x+ log (1+ 2*) = xlog 5 + log 6 %3D

A: Using the lock property to solve this problem

Q: 2 log(3n + 4) + 5 = 9

A: Given:

Q: log2(2)

A:

Q: 3. log2(3x + 7) =5

A: using logarithmic function find value of x

Q: Solve the equation

A: Given equation, log7(x-5)=log7(6x) Taking antilog with base 7 x-5=6x; (alogax=x)5x=-5  x=-1

Q: Solve for r: log( – 2x + 15) = 2 - Write log6(- 2x + 15) = 2 in exponential form. Find the value of…

A: We have to find the value of x

Q: b. (3.4)' log(14) + v287

A:

Q: 14. Solve log, (7 - 3) > log2 ( + 12). O A. B. C. D. 2. 3/2

A:

Q: Solve. 4 log:(21 - 7) = 8

A:

Q: Solve log b 4=2

A: Given: logb4=2

Q: (b).Solve for x: if log, x+3 log, 3=4 27**2 -6x3*3 3" x9**2 3a+3 (c). Show that %3D

A: Solution is below with full explanation.

Q: Solve log4 1x + 22 = log4 8

A: To solve the equation: log41x+22=log48 Solution: log41x+22=log48 On simplifying further we get:…

Q: Solve log2 1x + 72 + log2 1x + 82 = 1

A: Given : log2(x+7)+log2(x+8)=1

Q: a) Solve for x in log, (x2 - 5x + 14) (b) Solve the following equation 52x+1 (c) Solve for x in…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: nswers: b) log2 (x+ 5) = 3+ log2 (x – 3) %3D

A:

Q: 1 solve SO log 2 Ve* –

A:

Q: -2 log3 9

A:

Q: 4. Solve for x : log, (x – 3x – 88) –log, (x–11) =5 Ans 4 x = %3D

A:

Q: Solve for x. (a) log3 1/81 = x      (b) log6 36 = x

A: we have to solve for x. a log3181=xb log636=x   a log3181=x log3134=xlog33-4=x-4log33=x…

Q: Find the value of log2 2 . log2 4 . . . log2 2n.

A: Consider the expression log22·log24·…·log22n To find the value of the expression, use the below…

Q: Solve log(3x + 10) = 2 a) 30 8 b) 3 c) 110 d) -3.23

A:

Q: Solve for ?: 1. log3 27 + log3 1/3 = log3x

A: The given equation is log327+log313=log3x.

Q: lc Given that 2 log2 (x + 15) – log2 r 6. %3D (a) Show that - 34.x + 225 %3D

A: From the properties of lograthmic function we can prove this

Q: Solve for x in terms of k. log, a + log,(x + 5) = k. x = Find x if k = 10.

A:

Q: 6. – log (4.55 x 10¬12) =

A: Given :- -log(4.55 X 10-12)  To find:- Solve the given expression

Q: 6. Y = log2(4x5 – 7)

A:

Q: 16.Solve for x: log, (2x+ 4) – log, (x-7) - 3 Find the equation with following roos : 17. a) – 2±5/2

A:

Q: The solution of log, (7+ x) = 3 log, 4 is O x = -57 O 1 = 71 x = 57 O T = -3 O 1 = 12

A:

Q: 8log2(t – 5) = 32 log2(t – 5) = t = !

A:

Q: V (P) = log (2) (5) + + log (4) 2, + log (8) = log (4) + ...

A:

Q: Solve for n: log₂(log₃n)⁵=10

A: Use the following formulae, to obtain the solution. If logax=y, then x=ay. amn=amn. logaxn=nlogax…

Q: Find the value of log2 3 . log3 4 . ... . logn (n + 1) . log(n+1) 2.

A: given,          log23 . log34 . .........lognn+1 . logn+12

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.