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

Q: Solve the Logarithmic Equation 5 log, x = 4 by following the steps below.

A: Give logarithmic equation : 5 log2x=4

Q: Express the equation in exponential form. (a) log3(27) = 3 %3D (b) log3(1) = 0

A: we have to express the given logarithmic equation in exponential form. (a) log327=3(b) log31=0

Q: Solve the following equation. log8 x = 1/3

A: We firts use the exponential form of log.

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

A:

Q: solve the following logarthemic equation. log4(x+74) + log4(x+11)=3

A: Given,         log4x+74+log4x+11=3

Q: solve the following equation:  x = log5(1/625)

A:

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

A: This question is based on properties of Logarithm.

Q: Solve the given equation by hand. log(x) = 4 Enter an exact number.

A:

Q: Solve the following equation. log5 x = -1

A:

Q: Solve the equation log(x2 + 1) = log(x - 2) + log(x + 3).

A: log(x2+1)=log(x-2)+log(x+3)

Q: Solve the following equation. log10 x = 3

A:

Q: Solve the following equation using the corresponding properties: log3 (5x + 7) = 2

A: I have written the used property in the side of solution step and easily find the required solution.

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

A:

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

A: To solve the below equation

Q: Solve the equation without using a calculator.

A: log4x=log4x3

Q: Solve the following equation.    log2(3x-1)= 3

A: use logarithmic definition.

Q: Is -10 the solution of log5(x+35)=2? Why or why not?

A:

Q: The value of log; v8 is 2

A:

Q: For Exercise, solve the equation. log2(x − 4) = log2(x + 1) + 3

A: To solve the given equation.

Q: Q2: B. Solve the following equation and find x ? log4(2x + 6) – log4(x – 1) = 1

A:

Q: Express the equation in exponential form. (a) log5(25) = 2 (b) log5(1) = o

A: Using logarithm properties,we get

Q: Solve the following equations. log,(x-1)+log,(x-3)= log.(2x-5)

A: We have to find the solution of logarithmic equation.  The solution is following

Q: Solve the equation. log ( 5 + x) - log (x - 3) = log 5

A:

Q: Write the following equations in exponential form. log︿2 7 = x

A: We need to write the following equations in exponential form. log27 = x In the exponential form,…

Q: Solve the exponential equation 9e5x = 1269. Where necessary, express the solution set in terms of…

A: 9e5x=1269 Concept ln e=1

Q: log うx+H 4(x+7)

A: We need to solve log105x+44x+7=0. Now,                log105x+44x+7=0⇒5x+44x+7=100⇒5x+4=100·…

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: Solve for x the equation 2 x b4 logbx = 486

A: Given Solve for x the equation 2 x b4 logbx = 486

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

A:

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

A:

Q: Solve the equation. log (3x) = log 2 + log (x - 1)

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

A:

Q: Solve the equation log 3x = log 2 + log(x-1)

A: We are given: log(3x)=log 2 + log(x-1) We need to solve the equation for x. This can be done as…

Q: Solve the exponential equation 9e5x = 1269. Where necessary, express the solution set in terms of…

A: Given exponential equation 9e5x=1269

Q: log (8m²n³) is

A: to find log (8m²n³)

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

A: given :

Q: Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. log 8x3=4

A:

Q: Solve the equation accurate to three decimal places. log7 x3 = 1.9

A: We have given that log7 x3 = 1.9 First, we have to take the common base Take base as 7

Q: Solve the equation log6(x + 1) = 2 accurate to three decimal places.

A:

Q: Solve the equation log5 x2 = 4.1 accurate to three decimal places.

A: Solve the equation log5 x2 = 4.1 accurate to three decimal places.

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

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

Q: Solve the equation log x + log(x-21) = 2

A: Using the property Loga + logb= log a.b

Q: Solve the logarithmic equation: log, (x + 1) + log, (x – 1) = 2. Round to the nearest tenth if…

A: Given logarithmic equation is log5x+1+log5x-1=2

Q: solve the equation analytically 1)  − log(x) =5.4

A:

Q: Solve the equation without using a calculator .

A: To solve the equation: log(logx)=2. Solution: Given equation is: log(logx)=2 On simplifying further…

Q: Solve the equation without using a calculator .

A: Given:          logx2=log x2 Apply log rule: log ab=b log a       2 log10x=log10 x2 Rewrite the…

Q: 9. Solve for x in the equation log, e+ Inx = 4. A) x = 2+ /3 B) x= 3+ /2 C) x=3± /3 D) x= 4+ /3

A: