Find the domain of the following exponential and logarithmic equations and solve them: log4 22. =-1.5 Domain : Example: x<-3; 37 Solution : Example: x=3; x=5

Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for…

A: Given a function for measuring sound intensity. We need to measure the intensity in decibels when…

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

A: This question is based on properties of Logarithm.

Q: Solve this logarithmic equation: 2log4x = log49

A: To solve the given logarithmic equation.

Q: Solve the logarithmic equation. log7 x = 3 II

A: For this problem, we can find x easily by using formula.

Q: Use the definition of a logarithm to solve the equation. 10 − 3 ln(6 − 9x) = 7

A: Given:

Q: Solve for the exact value of x. log, (4x) + log, (2) = 4

A:

Q: Solve for x by converting the logarithmic equation log1/7 (x) = 2 to exponential form.

A:

Q: Solve for x by converting the logarithmic equation to the exponential form. log(x) = 4 x=_____

A: log10x=4⇒x=104⇒x=10000

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: 7) Solve for "x" in the equation log,(x + 2) -1 = 4 (3 decimal point accuracy).

A:

Q: Solve the exponential equation 8x = 12,143. Where necessary, express the solution set in terms of…

A:

Q: Determine the solutions of the equation log, x = 2 – log,(5 – x)

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Q: see attachment

A: Given logarithmic equation is,

Q: 2. Solve the following logarithmic equation or FULLY explain why it is not possible: log(-8)

A: Logarithm of a number is defined as a quantity representing the power to which a fixed number (the…

Q: Solve. log, x = 3 - log,(x - 2)

A: We know that, from the property of logarithm logam+logan=logamn           ⋯⋯1logab=c⇒ac=b        ⋯⋯2

Q: Solve e-3x = 2 using the natural logarithm function.

A: Given equation - e-3x = 2Taking ln on both sides - lne-3x = ln2-3xlne = ln2…

Q: Use logarithms to solve the equation 3^(x^2-4)=2 for x.

A: Given data:     The given expression is: 3(x^2-4)=2.     Write the given expression can be written…

Q: 10.) Solve. Write the exact solution in terms of logarithms. el-3x = 4

A: This question can be solved using the concept of natural logarithm.

Q: Use logarithms to solve the exponential equation. 33-2x = 6*+8 (Round to three decimal places as…

A: The given equation,33-2x=6x+8

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

A: 9e5x=1269 Concept ln e=1

Q: Solve the logarithmic equation for x. logx = -2

A: Given logx = -2

Q: Solve the equation for x value :- In e + 4-2log4x log5 25

A:

Q: Ina8-In(x-3)=lnx

A:

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: log, (x- 3)+ log, (r 4)= log3 (2)

A: According to the addition property of logarithms, we have logax+logay=logaxy According to the…

Q: Solve the equation log27 X =

A:

Q: Solve the equation. log 7 – log x = 2 X = %3D

A: using log property

Q: Solve the following logarithmic and exponential equations and does the value hold true log3k…

A:

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

A: Given exponential equation 9e5x=1269

Q: e7x = 3x − 4

A:

Q: Solve for x.   (a) log4 x = −2    (b) log5 x = 3

A: definition used: if y=ax then x=logay.   By using above definition, log4x=-2x=4-2x=116 Thus, the…

Q: Solve the equation log27 x=1/3

A: We have to use the exponential definition of logarithm. With a=27, b=x and c=1/3

Q: . If A = log (-5), B = V-i and C = i', solve for A + B + C. Express your final answer in exponential…

A:

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

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

Q: Solve the exponential equation 8x = 12,143. Where necessary, express the solution set in terms of…

A: Given exponential equation, 8x=12143we have to solve the given exponential equation:

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: Use logarithms to solve. e2x – ex – 90 = 0 %3D -

A: Solve: e2x - ex -90=0

Q: Solve the exponential equation 54x+2 = 37,500. Where necessary, express the solution set in terms of…

A: Given equation is: 54x+2 = 37,500 (4x + 2) ln 5 = ln (37500) (4x + 2) ln 5 = ln…

Q: Solve the following equation: 1 log, (15-4n)=

A:

Q: The pH of a solution is given by the formula pH = - log H* , where H* is the concentration of…

A: TO CALCULATE 'pH' OF THE SOLUTION pH = -log[H+] [H+] = 3.05 * 10-9 moles/ litre

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: Solve the exponential equation 24x-2 = 64. Where necessary, express the solution set in terms of…

A: Given: 24x-2 = 64

Q: Solve the exponential equation 2=3^2x+1 for x by converting to logarithmic form and isolating the…

A: We need to solve the following equation 2 = 32x+1                                     ........(1)