Solve for x: log2(x) + log2(x – 2) = 3 Solve for x: log:(x - 2) - log:(x - 4) = 2

Q: log 4- log(x-6)= -1

A: We have to solve x

Q: log4(x - 2) = 1

A: Given: log4x-2=1 To find the value of x

Q: 11. log( 2x + 9) + log( x + 3) = log( x² +1) Solve.

A: Logarithm is the inverse function to exponentiation. Logarithm of a number is the a quantity…

Q: = log3x + log(5x²-3x) - log3x², express x in terms of y.

A: Topic:- algebra

Q: Solve the logarithmic equation for x. log3(x + 15) - log3(x - 1) = 2

A: log3x+15-log3x-1=2

Q: Solve the logarithmic equation for x. log2 3 + log2x = log25 + log2(x - 2)

A:

Q: Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded…

A: A logarithmic equation is an equation that contains logarithm of a function variable or the…

Q: 3x = 76x-5 d. log2(x+30) + log2x = 6 e. 2x^2 = 162x-3

A:

Q: If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then solve for x

A: To solve the equation for x.

Q: log(x^2+2x-8)=2+log(x+4)

A: Given equation is log(x2+2x-8)=2+log(x+4)

Q: log(x-9)=1-logx

A: Consider the given logarithmic equation.Use the rules of logarithm and simplify the equation as…

Q: 6 - 2 log2(4x) = 0

A: Given,           6-2log24x=0

Q: Log(2x+1)-logx=2

A: Given equation is: log(2x+1)-logx = 2

Q: 38. Solve: log2 (x-2)log2 x= 3

A: firstly, we use the result log(m) +log(n)=log(mn)

Q: Solve: log 2(2x + 1) - log 2(x – 2) = 1.

A: Logarithms and exponential functions are considered to be the inverses of each other as one can…

Q: solve for x in log2 (x+3) + log2 (x-1) = log2 12

A: Givenlog2 (x+3) + log2 (x-1) = log2 12

Q: Express -log x+5log y as a single logarithm. (A) log -+5y ® log(Vry³) log(V+ y*) (D) log 2

A:

Q: (x-2) log.(x2 - 4) – 2 log (x-2) + loga (x+ 2)

A:

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

A:

Q: log3 = X-1 3 √3-2x

A:

Q: Log (3x-5)-109 (4x+1\ = Log x+6)-L09x+2 8, 8,

A:

Q: 10) Solve for x. log5 x - log (x - 2) = log 2 |

A:

Q: 3x+1 Solve for x without using logarithms: 4³* =16"-.

A: We will use exponent rules to solve the equation.

Q: Solve for x in terms of k. log; a – log3 (x + 9) = log3 k. %3D - x = 1 Find æ if k = 3

A: Use property of logarithms to solve

Q: log (x² - 9) = log (5x +

A:

Q: Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded…

A: The logarithmic expressions can be simplified using the logarithmic properties , loga+logb=logab…

Q: Solve: log(x + 4) – log(x - 2) = log x.

A: Given: logx+4-logx-2=log x To Find: To solve the given equation.

Q: Solve the equation.

A: log57x=2+logx-2

Q: solve for x: log 7(x+5)-log 7(x-1)=2

A:

Q: 2 log x + log2=log32 Solve for x

A: Given:   2 logx+log2=log32Log of a product:loga x+loga y=loga x.yLog of a power:loga xn=n logax

Q: B- log2(3x + 5) - log2(x - 5) = 3

A:

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

A: The objective is to solve.

Q: 3.) y = log, - 6·x³ -6.x³ y' = %3D

A:

Q: Solve for x

A:

Q: Log8(x-2)+log8(x)=1

A: The given expression of the logarithmic equation is: log8(x-2)+log8(x)=1 Use properties of…

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

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

Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

A:

Q: Exponential 1.f (x) = 23x-6, when x = -1 3x+2 .1 2.f (x) = (-) x-7, when x = 2 Logarithmic 3.f (x) =…

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

Q: Solve for x in log4 (x+1) + log4 (x-1) = log4 15

A: Use the properties of lograthim and form the quadratic equation in x than solve. Lograthim is only…

Q: Solve for x           (a) log10 1000 = x      (b) log10 0.1 = x

A: Answer(a): The given logarithmic equation is: log101000= x  To solve this logarithmic equation for…

Q: Solve the logarithmic equation for x : log2 (x - 2) + log2 (x - 3) = 1

A:

Q: log(3+x)-log(3-x)=log(3) solve and express in exact form

A: Given expression is,log(3+x)-log(3-x)=log(3)Then,

Q: Solve: Log (x + 3) Log (x - 2) + Log 2

A:

Q: Solve: log(x + 4) - log(x - 2) = log x.

A: Given: logx+4-logx-2=logx

Q: solve for x log(x+6)=2

A:

Q: log2(x2 + 2x) = 3

A:

Q: Solve for x in log4 (x+1) + log4 (x-1) = log4 15

A:

Q: Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded…

A: Given logarithmic equation is logx+logx+15=2

Q: Solve for x in terms of k. log4x−log4(x+6)=log4k A) x= B)Find x if k=1/8

A:

Q: Solve for x:

A: Given, logX2 =log16X