If log, (3x + 3) = 3, then x You may enter the exact value or round to 4 decimal places.

Q: Show that loga 12x + 2x - 12 + loga 12x - 2x - 12 = 0.

A: given :                      loga (12x+2x-12) + loga(12x-2x-12) = 0 The product rule for logarithms…

Q: If log, (6x + 2) = 5, then x = You may enter the exact value or round to 4 decimal places.

A: Answer is mentioned below

Q: for which value of x is the expression log7(2x-3) undefined

A: The logarithm function log(x) is defined only for x>0. So the  logarithm of a negative number  is…

Q: What is the value of log3(-9)

A: Given, The expression   log3(-9) We have to find the value of expression

Q: Find the exact value of the logarithmic expression ln(1/√e)without using a calculator.If this is not…

A: Given: Let y=ln1e To Find: To evaluate the given expression.

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal…

Q: If log, (4x + 4) = 1, then x = You may enter the exact value or round to 4 decimal places.

A: Find x such that  log24x+4=1,    Apply log property logab=1 if a=b. Therefore, log24x+4=1 when…

Q: How can I rewrite this expression as a single logarithm?

A: In this question we will use some basic log rule such as, logba+logbc=logbac logba-logbc=logbac…

Q: Without using a calculator,find the exact value of:

A:

Q: . Show that log(1) = 2nti, n = 0, ±1, ±2, ...

A:

Q: Without using a calculator, find the exact value of log, 81 – log, 1 log,v 8 – log 0.001

A: To find the exact value of log381-logπ1log228-log0.001. Solution: Properties of logarithm are: 1.…

Q: If logx(1 / 8) = -3 / 4, than what is x?

A: Given,

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2 x…

A: log2x-log6x=3

Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

Q: If log3 (x + 2) = 2, the value of 'x' is..... %3D

A: If logam=n then m=an

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: We have to find out the value

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A:

Q: If log, (3z + 6) = 3, then z = You may enter the exact value or round to 4 decimal places.

A:

Q: If log, (7x + 5) = 5, then z = You may enter the exact value or round to 4 decimal places.

A: Simplification

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: We need to find log value.

Q: The solution to log3(2x − 1) = 4 is: STEPS PLEASE

A: Properties of Logarithm: Given function is: Rewriting given function:

Q: If log, (3x + 4) = 5, then x =

A: Log2( 3x+4)=5. using the definition of a logarithm:- for any positive real numbers x and b, b≠1,…

Q: If a project takes 10 people 12 months to complete and the Pointy-Haired-Boss says 20 can do it in 6…

A: Given information: 10 people takes 12 months to complete the project. Pointy-Haired-Boss says that…

Q: Suppose you're using a scientific calculator (like most phone calculator apps when you hold the…

A: To Determine: calculate log317 Explanation: we know that there are two types of logarithm  common…

Q: Without using log.[log 3(log, 8)]. a calculator, find the exact value of

A: Without using a calculator, find the exact value of log4log3log2 8

Q: Use the one-to-one property of logarithms to solve. In(50 – 3x) = In(-4x) X =

A:

Q: \log _2\left(5x+2\right)=2, then x = You may enter the exact value or round to 4 decimal places.

A:

Q: If ex = 7, write x in terms of the natural logarithm. X =

A: Given that, ex = 7

Q: If log₁₀ x = 5, what is the value of x?

A:

Q: If ex = 5, write x in terms of the natural logarithm.

A: Given ex=5 To write x in terms of the natural logarithm.

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A:

Q: Find the largest value of r that satisfies: log, (a) – log, (a+ 3) = 5 You may enter the exact value…

A: Solving the problem by obtaining the value of x.

Q: How are the two equations 102 = 100 and log10 100 = 2 related?

A: Here I am attaching image so that you understand each and every step.

Q: If log(7x + 3) - log(2x + 5) = 4, then the equation in exponential form is 104 = (7x + 3) - (2x +…

A: Equation Solve: log(7x+3)-log(2x+5)=4We know logm-logn=logmnTherefore…

Q: Use logarithms to solve. e2x – ex – 56 = 0 - -

A: Given: e2x-ex-56=0. To find: The solution of given equation.

Q: What value of x makes the equation log, (2x + 1) + log,(x - 3) = 2 true? %3D

A: we need to find the value of x that satisfies the given equation

Q: For a logarithmic expression log, x, b cannot be less than 1. True False

A: Please refer the attached image for complete solution.

Q: If log, 2x + log4(x- 2) = 2 then x is equal to? %3D

A:

Q: The logarithmic equationb log, 3 = c, where a > 1, expressed in exponential form could be

A: Consider the logarithmic equation  bloga3=c              , a>1

Q: If log, (4x + 3) = 4, then x = %3D You may enter the exact value or round to 4 decimal places.

A:

Q: The solution set for the equation logx(2x + 3) = log24 is %3D

A:

Q: Express as a single logarithm. (a) 4 In(x – 6) – In(x² – 10x + 24) + 2 In(x – 4)

A: The given logarithmic expression is: 4 lnx-6-lnx2-10x+24+2 ln x-4  Since the  logarithmic property…

Q: Express as a single logarithm and, if possible, simplify. Inx-7[In (x- 4) + In (x + 4)]

A:

Q: If log, (7x + 4) = 2, then x = You may enter the exact value or round to 4 decimal places.

A: Simplification

Q: If log, (5x + 3) = 3, then x = You may enter the exact value or round to 4 decimal places.

A:

Q: If log, (5x + 6) = 5, then x = You may enter the exact value or round to 4 decimal places. > Next…

A: We will solve for x.

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A:

Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given expression.

Q: If log, (5x + 3) 3, then x = = You may enter the exact value or round to 4 decimal places. > Next…

A: Find the value of x

Q: solve, g(x)=-3(1/5)x + 2 where g(x)= 0(using log may be) leave it in exact form not decimal.

A: Given that g(x)=0 So we will plug g(x)=0 and solve for x