og (x2 + 2x - 8) = 2 + log (x + 4)

Q: Solve the following equation: log7(3x) = log7 3 + log7(6x – 1). X =

A: Answer and explanation is given below

Q: If log2(7x+6)=1, then x=

A:

Q: Solve the following: 1. 2x/2-16=1/32 2. log8 (x-2) + (log8(x)=1

A: Explanation of the answer is as follows

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

Q: Solve the following: 2x-6 = 1            8   log5 (x+3)=1-log5 (x-1)

A: Using definition & rules of logarithm.

Q: Solve the following log equation exactly loga(x)=loga(x2-30)

A: This question is based on properties of Logarithm.

Q: Solve the following equation: log3 (x + 16) – log3 x = 2

A:

Q: Given log x3= 0.4771 and log x7= 0.8451, find value of log x 49/3 ?

A:

Q: Solve the following: log, (x-2) + log, (x ) = 1

A:

Q: If  x is an integer then solve (log2x)2-logx4 - 32 = 0

A: The given equation is (log2x) 2 -logx4 - 32 = 0

Q: Solve the following equation 2log4 (4x) = log4 (14 x2 + 98) X=5 X=7 X=14 X=2

A:

Q: If log(7)x=0.4680​, determine the following.     log(7)x^2

A: Given:       To determine:

Q: Solve the following logarithms and find X. 1) log, 36 = X 2) log, 1 = X 3) log 10 = X 4) log X= -1…

A: Here we will use the formulas as logaa = 1log ab = b loga   1) log636 = Xlog6(6)2 = X2 log66 = X2(1)…

Q: Solve the following: 1 (ii) log, (x+3) =1-log,(x-1) r-6 (i) 2" 8.

A:

Q: Given y = log3 (3x – 2) , what is -

A: y=log3(3x-2) To find: dydx

Q: Solve the following equation. log10 x = 3

A:

Q: Solve the following equation: log3(3x) = log3 3 + log3(4x − 1).

A: To solve the below equation

Q: Given the following equations, find x log(x – 3) = 3 b. In(x - 2) = 5 – In(2x + 1) c. log2 ) = 3 +…

A:

Q: Use the laws of logarithms to expand and simplify the expression. x3 In Vx (1+x)5,

A: To simplify the expression

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: 2x-1 = 3x

A:

Q: In the given question as follows, solve for x.   log4 x = -2 log5 x = 3

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

Q: If log2(3x +7) = 4 then x = ?

A: Given problem is :

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Find x using logarithmic rules. 2.6x = 4x+1

A:

Q: Please solve the following equation for x, exactly: log((3)(2x))=8.

A:

Q: If log2(4x+5)=1, then x=

A: To find the value of x we need to apply basics in logarithmic relation. We have the formula,…

Q: Solve the following equation 2log4 (4x) = log4 (14x2+ 98) X=5 X=14 X=7 X=2

A:

Q: Solve the following equations. log, (2.x – 3) = 3 4 In(3.x) = 8 log x = log(1-x)

A:

Q: Solve the following equation for X log(x+2) + log(x-1)= 1

A:

Q: 2. 2 log x – 1 = log(x-1)

A:

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

A: Given: log2x-2=logx+1+log4 Now by using the logarithmic property, loga+logb=loga·b…

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 1225

A: Given, ln(1225) Express this in terms of ln(5) and ln(7)

Q: Solve the following logarithms for x. 12) log5 225 = 2x-6

A: given :

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

A:

Q: solve the following  i).  2x/2-16 = 1/3   II). log8 (x-2) + log8 (x)=1

A:

Q: solve the following equation. log2(5Vx – 5) + log2(Vx – 1) = 3

A: Given that:   log2(5x-5)+log2(x-1)=3

Q: single logarithm:

A: Given: log2x -log12x-1 To express: The expression as a single logarithm.

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.

Q: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

Q: Solve the following logarithmic equation:  log2(x − 2) + log2(x + 1) = 2

A: Given,

Q: Given that log x=2.5 and log y = 4 , find the value of log (yx)

A:

Q: Solve the following equation for x. log;(3x+ 2)+ log;(2x + 1) = 2. 1) -2.6263 2) -0.4975 3) 1.4596

A: The given equation is log53x+2+log52x+1=2. The following rules of logarithms are used in solving the…

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Given log3(x2-1)=1+log3(x+3), find log4(x-3). -1 -1/2 1/2 3/2

A:

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

A: Given that log(2x-3) - 2 = log(4x-1)

Q: logs(2x-8) = log5(4x-10). ...

A: loga(x) =loga(y) this impies x=y