1. Simplify the following much as you can. as (a) log, 16 log10 V10 (c) slok 5 (b)

Q: If log2 X = 5, what is ln X?

A: topic - logarithmic function

Q: Find a number E such that log (5z + 1) = 2

A: The solution is given below.

Q: 1. What is the value of x in log. 27 - - 3? A. В. з C.9 D. 81

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose we know that log x = 6.0. Find the following.  log (10x)

A: Formula :- log (ab)  = log(a) + log (b)   log10 (10)  = 1  loge(10) = 2.302585

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: If log2 (6x + 6) = 4, then x = You may enter the exact value or round to 4 decimal places.

A: We have to find the value of x.

Q: Express the given quantity as a single logarithm.  ln 5 + 5 ln 3

A: Given

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: 7. If (0.2)* = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

A:

Q: (5) =7. Find the following: loga g) loga (1,000, 000, 000)

A: Given: loga2=3 and loga5=7 To find loga1,000,000,000

Q: Expand the following expression as much as possible and compute any parts that can be done without a…

A:

Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

Q: 8. Condense the expression 4ln(c)+ In(d) + : In(a) + ŞIn(b+3)t to a single logarithm.

A: please see the explanation below

Q: 2. The expression log(3 + x) is undefined for what values of x?

A:

Q: Ise the Laws of Logarithms to expand the expr log2

A: We have to express the given expression

Q: 1 1 1 The value of log, n log,n SI- log,™ -+- t.

A:

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: If log (x³ (x-2)) is expanded to Mlogx+ Mog(x-2, what 3 thhe sum of Mand N?

A:

Q: Express the quantity as a single logarithm.   In 3 + 1/3  In 8

A: Given- ln3+13ln8 To express- The above expression as a single logarithm. Formula used- lnam=mlna and…

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: 1. On your calculators, compute the following: e-18 log 6 =0778IS 12004 loga 6 = 2.4ansoi %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: express the following as a single logarithm ln x+ a ln y - b ln z

A:

Q: Suppose we know that log(x) = 7.3. Find the following values. (a) log(10x) (b) log(1000x) log ) (c)…

A:

Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

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: 9

A: We need to solve

Q: (8) Expand the following into as many logarithms as possible, with what's inside each logarithm as…

A:

Q: a- Simply the following 1. Inx – In(x2 – 1) + 2ln(x + 3) 2. 5log2 + log3 - log8

A:

Q: 2. 2 log x – 1 = log(x-1)

A:

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: c) In(4t*) –…

A: To simplify12ln(4t4)-ln2

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

A:

Q: if log7M=log(2)3/log(2)7 than M =3, 1, 7 or 2?

A: We use Logarithmic properties

Q: What is the value (if any) of the following? log x as x--> 0+  log x-->

A: We first graph y=log x

Q: 2. i) Now, on your calculators, compute the following: e-24 = log2 3 =

A:

Q: 1/15 Correct without the use of a calculator. Write your answer as log(0.01) low)

A: In this question we will use basic of properties of log. As we know that log(ab)= b(log(a)) and…

Q: 4. Solve the following logarithmic equation: log; (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: Here, Z=9k=5

Q: Suppose we know that log x = 7.4. Find the following. log (1000x)

A:

Q: log x is the exponent to which the base 10 must be raised to get. So we can complete the following…

A: The given statement is  log x is the exponent to which the base 10 must be raised to get _____   log…

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 0.75

A: To express ln0.75 in terms of ln2 and ln3

Q: 2) Evaluate the following without using a calculator. Show your work. a) loga 8 = b) log: (

A:

Q: Consider the following. el - 3x = 8 (a) Find the exact solution of the exponential equation in terms…

A: Given e1-3x=8

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Simplify the following into a single logarithm: 3 log(2) + 1 log(x) =

A: Given that  3log(2)+1log(x)

Q: 1. Use the definition of natural logarithm to rewrite Inx= 4.6052 in exponential form, and evaluate…

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of  ln (2) and ln(3)

Q: If 10' = 10, which is equal to 1? Select the correct answer below: log 1 O log 10 O log 100 O log…

A:

Q: Consider the following. 10 X = 169 (a) Find the exact solution of the exponential equation in terms…

A: We have to find x