1 log 3 27 |

Q: Express the following logarithms in terms of ln 2 and ln 3.c. ln (1/2)           d. ln( 9)^1/3

A: Given: c  ln12  d ln913 Formula Used: 1 lnmn=lnm-lnn2 lnxn=nlnx

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 logarthemic equation. log4(x+74) + log4(x+11)=3

A: Given,         log4x+74+log4x+11=3

Q: If log(x + 8) + log(x – 8) = 1 then The value of æ is

A: This is a basic log question that can be solved with logarithmic property. The product rule of…

Q: Solve the following equation:   log 7  ( x   +  1 ) +   log 7 ( x - 5 ) =  1

A: (1)  According to the question, we have to solve the expression log7x+1+log7x-5=1. As the given…

Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: Solve the following a). log4(x+2)−log4(x−1)=1 b) log2(x − 1) − log2(x + 3) = log2(1/x)

A:

Q: (1) solve the following  i) 2x/2-16  = 1/32  ii)  log8 (x-2) log8 (x )= 1

A: We have to solve and finding the value of x  Here using logarithmic properties

Q: Solve the following equation. Where appropriate, include approximations to three decimal places. If…

A: Q

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

A:

Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

A:

Q: 4. Solve the following using logarithms. a) log x + log(x - 1) = log 2 b) log 40 - log10 = logx

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: 2 log x = log(6x + 27) O x= 3 O None of these O x= 9 X = -9

A: We will solve the equation and will find the value of x as following .

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: D) log3 (x² – 5) = 2

A: To solve the equation for all real values of x log3(x2-5)=2

Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: Solve the following logarithmic equation. Give the exact value for full credit. log (x+1) + log (2)…

A:

Q: D. Solve for the following logarithmic equations 1. Inx = -3 2. 2logx = log 2 + log(3r 4) 3. logs(x…

A: As per our guidelines we are supposed to answer only first three sub parts of the question. Kindly…

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

A:

Q: 6) Solve the following and round to the nearest thousandth. a) log x + log(x – 15) = 2 b) logo(x +…

A: (a) Given: logx+logx-15=2

Q: Solve the following logarithm problem for the positive solution for x. 1 log, = -2 %3D 49

A: x=?

Q: Solve the following logarithmic equation. log x+ log (x +9) = 1

A: Introduction: Scientists immediately adopted logarithms because of a spread of advantageous…

Q: 2. 2 log x – 1 = log(x-1)

A:

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: Solve the following logarithmic equation. log 3(x+ 10) + log 3 (x+ 18)= 2

A:

Q: Solve the following equation. [Hint: Change log 4x to base 2.] log2 (x+4) - log 4x=2

A: To solve the equation.

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

A: given :

Q: 10. Solve the following logarithmic equation. log (x+ 25) log(x + 10) + log 4 %3D

A: To solve the logarithm  Use formula log a + log b  = log (ab)

Q: 10) Solve the following. log2 (x + 1) = 3+ log2(x + 2)

A:

Q: using

A:

Q: The value of x for: log. (e) +4g(9 =x'log(10) is:

A:

Q: (a) Solve the following: -1 (i) 2*-6 8 (ii) log, (x+3) = 1– log, (x-1)

A: An equation is a formula that provides the equality of two expressions, by connecting them with the…

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: 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 inequalities. 1. log5x 2 3. log273 > x 4. log2(5x + 7) > 5 5.…

A:

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

A: Given,

Q: Use the Laws of Logarithms to expand the expression. xy (а) log x + 2 (c) log V + 4) (b) In

A: We know that, the property of logarithm is given as logmn=nlogm                 ⋯⋯1logmn=logm+logn…

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: 4. Solve the following natural logarithm for x: In (e?) = x A. 2 В.х C. e* D. In x O A O B

A: We have to find

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

A:

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

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

Q: Solve the following equations: (a) log x 2 = log(x + 4) (b) 4 3x−1 = 72x+3

A: (a) We have to solve logx2=logx+4 Use logarithmic property logm=logn⇒m=n Hence,…

Q: Solve the following equation for x. log(4x+170) = 2

A:

Q: Solve for x (to four decimal places) in each of the following: (0.26) log25) (4x- f) (414)x (1/4)*+3…

A: (f) The given expression is,