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

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

A: Answer and explanation is given below

Q: Find the solution of the exponential equation 7e = 6 in terms of logarithms, or correct to four…

A:

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: Use common logarithms to solve for x in terms of y

A: Consider the given function as

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

A: Logarithmic properties.

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A:

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

A:

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: Express the following logarithms in terms of ln 5 and ln 7. ln 0.056

A: We have to find ln(0.056) in terms of ln(5) and ln(7) Before that, write 0.056 in fraction

Q: Express the following equation in logarithmic form. 10 2= = 0.01 %3D - 2 The exponential equation 10…

A:

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

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

Q: Choose the exponential form of the logarithmic equation log3 (7x + 6) = 3. %3| O 33 = (7x + 6)° O…

A: Option c is correct.

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: Solve the following logarithmic equation:  log x + log(x − 1) = log(4x)

A: Simplify logarithmic equation

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

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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: What is the solution to the following equation? log(x - 9) - log(x + 3) = log(x - 8)- log(x+ 2)

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Q: 2x-1 = 3x

A:

Q: Solve the logarithmic equation for the unknown x. 2 log4 x = 1

A:

Q: Express the following logarithms in terms of ln 5 and ln 7.e. ln 0.056          f. (ln 35 + ln…

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

Q: Find the solution of the exponential equation 2t 100(1.04) = 5, 000 in terms of logarithms, or…

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Q: The solution of the logarithmic equation log 2 + log (x + 5) = log 36 is

A: We have to find the solution

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 equation: log2 (x – 3) + log2 x – log2 (x + 2) = 2. - -

A:

Q: Find the solution of the equation, correct to two decimal places. log2(x+2) + log2(x−1)= 2

A: We gonna use log properties to sole this problem log m + log n = log mn  loga x = y  => x = ay

Q: Express the following logarithms in terms of ln 5 and ln 7. (ln 35 + ln (1/7))/(ln 25)

A: ln(m*n)=ln(m)+ln(n)lnmn=ln(m)-ln(n)ln mn=n ln m

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

A:

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

A:

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: Solve the following logarithmic equations. a. 〖log〗_3 (x-4)+〖log〗_3 7=2 b. log(3x-13)=2+log⁡x

A: The explanation of answer as follows

Q: Approximate x to three significant figures.

A: Consider the given value. logx=-2.2118 Now, find the value of x.…

Q: slove the following logarthemic equation: log2(5x)=4

A: Solution: Consider the given logarithmic function is log2 5x = 4 We have  logb M = n then M = bn…

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

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: 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 logarithmic equation for t. ln(at + b) = c if a ≠ 0

A: To solve the given logarithmic equation.

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 5 and ln 7. ln (1 / 125)

A: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

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

A: