Evaluate the expression by hand, if possible. 4 14) log V100 C) 2 D) 2 A) 8 Expand the expression. 6 5 15) log5 9. A) 6 log5 x - 5 log5 y - log5 9 C) 6 log5 x+ 5 log5 y + log5 9 B) 6 log5 x + 5 log5 y - log5 9 D) (6 log5 x)(5 log5 y) - log5 9 Use the change of base formula to approximate the logarithm to four decimal places. 16) logg 84.85 份2.1356 B) 1.9287 C) 10.6063 D) 0.4682 Use common or natural logarithms to solve the exponential equation symbolically. 17) 3x = 9 In 9 B) x = In 3 A) x = In 6 D) x = In 3 d internret the result. 1/2

Q: a) log₂ (x + 5) + log₂ (x + 2) = 2 b) 5(x-2) = 3(3x+1)

A:

Q: d) The inverse of the exponential function y = bx, is obtained by interchanging the x and the y…

A:

Q: Evaluate / dx (x+2)²–49 O None to log() x-5 x+3 log() -5 x+7 ts log() x-5 x+9

A: We have to evaluate: ∫dxx+22-49

Q: ab³/2 (7) If x = then log(x) = c2d' %3D (A) log(a) + log(b) - 2log(c) - log(d) (B) log(a) + log(b) -…

A: Given problem:-

Q: (a) log₂ 11 + log, 4 = log₂ 7 (b) log₂-log,₂3 = log₂ 1 (c) log -2log₂ 25

A:

Q: Condense Conden se into a single logarithm. 4) 6log § x – 31og § y 4.

A: Given 6log8x-3log8y

Q: 1 14) log, 3 + 2 log, 25-log, r 15) log x + log 5 = 2

A:

Q: help! q) suppose m and n are positive integers such that log m = 43.1 and log n= 18.2 How many…

A:

Q: 11.) 6log, b – źlog2 d 12.) log:(4log, a) 13.) – log10 5 + 4 log10(x – 3) + 2 log10 y –÷ log10 6 |

A: The objective of the question is express each as a single logarithm.

Q: log32435

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

Q: 6) logg√3 7) log₁6 8) log4 8

A:

Q: 8.) log2(3)(37) 9.) log4(64)(37) + log3(343)(2) 2 10.) log10 0.02 + log4– log2 47 3

A:

Q: 1 Evaluate the expression log 55 O- 1 2

A:

Q: 4. log5 x > 3

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

Q: log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9…

A: Using Log(xy)=log(x)+log(y) And log(x^a)= a log(x)

Q: Prove that log2 n! ∈ O(n log2 n). Show work

A: The objective of this question is to prove that the logarithm base 2 of n factorial (log2(n!)) is in…

Q: 8. Write as a single logarithm with and simplify if possible a. log, 5+log,4– log, 20 b) In50–In5

A:

Q: 4- 1 What is the solution set of the equation log4(x+4)- 2loga(x+1) = %3D

A: Solve the given logarithmic equation as follows.…

Q: 27) Expand the following logarithmic expression entirely, over the real numbers: x² – 4 In |(x² +…

A:

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: a) If log, 8 b) If log, 16 3, then x = Preview 2, then x = Preview

A: (a) Consider the logarithmic term:

Q: Simplify, in each case state which Logarithmic Law you are a. 2log12 3+ 4log122 b. log825+ logg10 -…

A: 1  logabn=nlogab2  logab+logac=logabc3  logab-logac=logabc4  logaa=1