Solve the following equation for x:  log(x+1) + log(x+3) = log (x+7)

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

A: We use the division property of log to expand the given expression.

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

A: Answer and explanation is given below

Q: Solve for 'x' in the following equation: 4.7 = -log(1.76 x 10-5) + log(x / 0.16)

A: 4.7=-log(1.76×10-5)+logx0.164.7+log(1.76×10-5)=logx0.164.7+log(1.76)+log(10-5)=logx0.164.7+0.5653-5(…

Q: Solve log,x + log2(x – 2) = 3, for x > 2. %3D

A: According to guidline, 1st are solved

Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

A:

Q: Solve the following equations for x (a) 31-x - 92x (b) log2(z – 2) + logą z = 3

A: On solving the first

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: Solve for x in log,(x+1) + log4(x – 1) = log4 15 . A. x= 5 В. х3 4 C. x= 14 D. x= 3 or x = 1

A:

Q: What is the solution of 4 + 3 log(2x) = 16 ?

A: #  Given equation is          4+3log 2x=16

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

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

Q: Vx*+12 In (x+16)/x-3

A: Given,                   lnx4+123x+16x-3=?

Q: Find a formula for the inverse of f(x) = -1+ log2 x.

A: Given function is : fx=-1+log2x To find the formula of the inverse.

Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

A:

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

A:

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

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

A:

Q: In the given question as follows, solve for x.   log3 x = -1 log2 =x - 4

A: We have to solve the equation for x: log3x=-1log2x=-4 We know the property of logarithm,…

Q: Solve the following equation for x. log2(9x + 6) = 3 + log2(x + 3)

A:

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: The solution of log-(9+ x) = 2log7 8 is O x = 73 O x = -55 O x = 16 O a = 55 O x = -1

A: Logarithmic functions.

Q: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

A:

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

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(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 logarithmic equations. a) log2 (x) + log2(x +2) = log2(x + 12). In(x) + In(x -…

A: By Using logarithmic formula

Q: Solve the following logarithmic equation: log2 (x – 3) + log2 x – log2 (x + 2) = 2. - -

A:

Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: log, x+ 2) <0

A:

Q: Write the following logarithmic equation in index form and hence solve for x logx(4x-4)=2

A:

Q: 2. 2 log x – 1 = log(x-1)

A:

Q: 1 log 3 27 |

A: To find : logx127=-34

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: Expand the logarithimic expression.

A: Let the given logarithmic function be y - y = log2xx2+1y = log2x+log2x2+1…

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

A: given :

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

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

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

A:

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

A:

Q: Solve the following logarithmic equation: K•3 B-5 log2(x – K – B – 3) = log2 (x + K + B – 12) %3D

A:

Q: If c=log 2, what is log 0.8 in terms of c?

A: