5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

Q: 2. Find x if 14^x = 730 * 2.498 2.863 2.146 3. Find x if The base 6 log of x is equal to 4. * 4096…

A: This question is simply based on logrithmic properties Solution is given below

Q: 6. If log3 = s and log2 = t, rewrite the expression log72 in terms of s and t.

A:

Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: Express as a single logarithm. A) logbase5 6 + logbase5 8 - logbase5 12  B) 2 log 3 + 4 log 2  C)…

A:

Q: log10(2x- 4) = 1+ log10 4, then 'x' is equal to ...............

A: We have to find x

Q: if a=log m and b=log k . what is log m6/k7 ?

A: Given,            a =log m and b = log k

Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: (a) If log4x=2 then x= (b) If log3x=4 then x=

A:

Q: 20) Find the exact value of the logarithm without using a calculator. log,64 =

A: The given expression is log464

Q: Suppose log, 2 = 5 and log, 3 = 8, find: c) log, a5

A: Given  loga2=5 and loga3=8

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: 3. Explain in a complete sentence why logą 20 is between 2 and 3.

A:

Q: Suppose that In 2 = a and In 5 =b. Use properties of logarithms to write each  logarithm in terms of…

A: Given- ln2=a and ln5=b To find- The expression in the terms of a and b. Formula used- lnm·n=lnm-lnn…

Q: Suppose that, for a certain real number b > 0, log,(3) = 2.53 and log,(5) = 4.21 Find log,(45) 1…

A: Given:  logb3=2.53   and logb5=4.211) logb45=logb9×5we know that log(ab)=loga +logbThen…

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: Suppose log, 3 = 15 and log, 5 22, find: d) log, e) loga a c) log, 1

A: Given that

Q: (a) If logx16=2, then x= (b) If logx81=4, then x=

A: For (a), Given logx16=2. So,          logx16=2⇒1log16x=2Multiply both sides by…

Q: 1. Express as a single logarithm and simplify. a) logo 9 + log6 4 b) logs 15 – logs 3 2. Write as a…

A:

Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

A:

Q: If log(x + 13) + log(x – 13) = The value of æ is

A:

Q: a) If \log _2 x=5 then x =

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the…

A:

Q: 4. When the expression log, 6-[log, 2+log, 4], b>1, is written in the form log, a, the value of a,…

A:

Q: (2) Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

A: 6log4x-5-34logx+log9x-1

Q: 1. Find x if log,8x

A:

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

A: SOLUTION-

Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

A:

Q: |(a) If log; x |(b) If log3 x = 9, th E5 6, th

A:

Q: If log = log (n) – log(m) п Then log 12 || 3

A:

Q: Suppose that In 5 = a and In 11 = b. Use properties of logarithms to write the logarithm in terms of…

A:

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

A: We will use properties of Logarithmic and Exponential functions   Answer given by two different…

Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)

Q: - Write an expression equal to log; (4) + log,(5)| using at most one lo

A: Given expression is log3(4) + log9(5)

Q: ,162,20 If log A log(x) + Blog(y) + C log(z) 27 A = В - C =

A:

Q: Suppose log, (3) = 13 and log, (5) 19. Find the following: a) log,(15) b) loga (25) c) log

A:

Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

A:

Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z…

Q: Find the largest value of x that satisfies: log; (x²) – log3(x + 3) = 8 Z Calculator

A: Explanation of the answer is as follows

Q: If 15,18 log (14¹) A = B = = C: = = A log(x) + Blog(y) + Clog(z) then

A:

Q: 9 Find if log e x= 5

A:

Q: Given that log 30.933, log 4 1.177, and log,71.653, find log b 4 log bb (Type an integer or a…

A: Given: logb3≈0.933, logb 4≈1.177, logb 7≈1.653

Q: 8. a. Find x if log2x = -2 = -2 b. Find b if log,81 = 4

A: 8. We need to solve the following equations (a) log2x =-2 (b) logb81 = 4

Q: To four decimal places, log 105= 0.6990 and log 104 = 0.6021. Evaluate the logarithm log 107 using…

A: To find:log1054

Q: If log, 5 = 0.8 and log, 3 = 0.5 , evaluate log, . **If your answer does not come out evenly, round…

A:

Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

Q: Suppose that A is a number with log(A) = 1.352. What is the value of %3D log(1000A)? *

A: we have to find

Q: 4. The expression loga is equivalent to 5 O 3log.y +log, -log,5 O 3logay +2logax – loga5 | Olog (3y)…

A:

Q: 11. Evaluate: a) log135 b) log(log100000) c) log,9log,125

A: