Vlog2(x - 8) + log2(x + 8) = 64 %3D

Q: 2. log 2x2 2x log6 5 4.

A:

Q: log x + log (-2.72) = 2440,

A: From logarithmic properties, The product rule is given as,   Simplifying the equation using…

Q: Solve: log2 x + log2(x - 7) = 3.

A: Consider the given equation: Here the objective is to find the value of x.

Q: log2(x-3)=3

A:

Q: solve log2 x-log2(x-1)=1

A:

Q: Log ax5)-Log (7x+2)+lo9_ (8x+3)=3 3. 3

A: The objective of the question is evaluate the equation.

Q: Solve log 99. log3 243 = 2x + 1 100. log6 36 = 5x + 3 97. log4 64 = x 5 625 = x

A: We know that, from the property of logarithm, logaam=mlogaa=m (99) We have the given term as…

Q: Solve: log2 x + log2 (x - 4) = log2 (3x - 10).

A: To solve log2x+log2x-4=log23x-10

Q: Log3 x=9

A:

Q: Solve the inequality log1/2(2x + 3) > log1/2(x - 2)

A: inequality:                                     log1/2(2x+3)>log1/2(x-2)

Q: 4log 3 - log 33 =

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

Q: Log x + log4-2log2=log8 Solve for x

A:

Q: log5 (x – 4) – log5(x) + 4log5

A:

Q: log3 (V9) x log3(9) log;(52) x log5(5) log3 (35) x log3 (3) ||

A: We solve here logarithmic problem.

Q: Solve log6 18 - log6 3

A: The given question is log618-log63  Use the logarithmic quotient rule,  logca-logcb=logcab…

Q: log4(x2 − 64) − log4(x − 8)

A:

Q: What is the real part of Log(-5 + 51)²? What is the value of Log(-5+ 54)? – 2Log(-5+54)?

A:

Q: log(3-x) = -1

A:

Q: Combine into a single logarithm.

A: The three logarithmic properties to be used are: a) clogba=logbac b) logba-logbd=logba/d c)…

Q: Solve log5 (x2 +16)  = 2

A:

Q: Solve. log3(x)+ log3(x-8) = 2

A:

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: log3 (x+5) -log3 (x-7)=2

A: We need to solve the following equation log3x+5-log3x-7 = 2

Q: 5x log V7- 5x

A: LetL=ln5y5x-237-5x7Apply log rule:  logcab=logca-logcbln5y5x-237-5x7=ln5y5x-23-ln7-5x7Apply log…

Q: Solve log5 1x + 32 = 1 - log5 1x - 12

A: Solve :   log5x+3=1-log5x-1

Q: Solve : log2(x+3)=4+log2(x-3)

A: To  solve: log2x+3=4+log2x-3

Q: Solve log16 x + log4 x + log2 x = 7

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: 2千 + -log 8- 6-18 y/25.

A:

Q: log 2 x+ 2) + log 2x- 2) = 5

A:

Q: logaM/x=logaM1/x Is it true or false?

A: logaM/x=logaM1/x

Q: 2log5(x-3) - log5(8) = log5(2)

A: Simplify the given logarithmic equation as follows.

Q: log(3x) + log(3x)

A: log(m)+log(n) =log(mn) Product law of logarithm

Q: log2 (7x + 1) = log2 (3x + 9)

A:

Q: log(3x-1)=log(4-x)

A: The given equation is log (3x–1) = log (4–x).

Q: log3(x-5)+log3(x+3)=2

A: our objective is to find the value of X.

Q: 3log 3 - log 32 =

A:

Q: log (4x-2)=2

A: Given, log (4x-2)=2

Q: logix +log, (x- 12)=3

A:

Q: log4 (2x-1)+3=6

A: A logarithmic equation is an equation that involves the logarithm of an expression containing a…

Q: log 2(x - 5) = 3

A: we have to write the equation in its equivalent exponential form and then solve for x. log2(x-5)=3

Q: Solve: log 4(x2 - 9) - log 4(x + 3) = log 464.

A: Our Aim is to find the value of x which satisfies the given equation below:-log4 (x2-9)-log4 (x+3) =…

Q: log2(x+2)+log2x=3

A:

Q: Log5x = -3

A:

Q: log(2x-3)-2=log(4x-1

A: Given log(2x-3)-2=log(4x-1)We need to solve for xlog(2x-3)-log(4x-1)=2

Q: Solve: log3 x + log3(x + 6) = 3

A: Given equation: log3 x + log3(x + 6) = 3 Recall the product property of logarithms…

Q: 2log46-log49

A:

Q: log,(3x - 1) = log,(10x-9) Domain Example: x<-3; 3<x<7; x Solution Example: x=3; x=5

A:

Q: Log (X)+Log(x-1)eLog(8X-12)- Log(2)

A: The given equation is  Log(x) + Log(x - 1) = Log(8x - 12) - Log(2)

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.