Determine the restrictions on the variable for the following expressionlog2 (x2-16)-log2 (2x-8)a. x>-4, x<4b. x>-4C. X> 4d. x <- 4e. x < -4, x>4Vrite the expression as a single logarithm in simplest form.2(x²-16)-log₂ (2x-8)

Answered: Image /qna-images/answer/36291c12-875d-41d9-94c1-d087c2480ed5.jpg

Answered: Determine the restrictions on the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 9E

See similar textbooks

Similar questions

Write the expression as the sum or difference of two logarithmic functions containing no exponents. log:(rVz+2) O 4log,r(x+2) log,2+log,z +log,2 log,x +4log-(x +2) log,z + log-(r +2)
Simplify: log, 16 - log , 25. log 5 1 49 -16 -12 8 14 -18
Write as the sum and/or difference of logarithms. Express powers as factors. log6 ((x-4)/x7) a) 7log6 x - log6 (x-4) b) log6 (x-4) + 7log6 x c) log6 (x-4) - log6 x d) log6 (x-4) - 7log6 x
approximate the logarithm using the properties of logarithms, given log, 2 = 0.3562, log, 3 = 0.5646, and log, 5 - 0.8271.
Which logarithm is equal to log,(*+6) + log,x7 Select one: a. log, (8x) O b. log,(2x+ 6) C. log, x* + óx O c. log, + 6x O d. log(x* + 6x) 2 d. logio log10 X* + 0x Clear my choice
Combine the three separate logarithms in the expression 10log(a)-log(u)-6log(=) into a single logarithm. Write all variables with positive exponents. Find the degree and leading coefficients of the polynomial. f(x) = -2r³-2¹-5x³+5x²+2x-3 Degree - Leading Coefficient -
log,- log, 5 = log, 6. 6.
Evaluate log;(-5)
Write as the sum or difference of logarithms and fully simplify, if possible. Assume the variable represents a positive real number. log(- 1,000 √²+25 Select one: O a. 3-log(x²+25) Ob. 3-log(√2+25) Oc. 3-log(x + 5) O d. 3+ log(x²+25)
y3 The expression loga 4. is equivalent to 5 O 3logay +log, –log,5 O 3logay +2logaæ – log,5 | Olog.(3y) +2logr – log 5 O log.(3y) +log *) - log,5
#54 use log
Use the properties of logarithms to condense the logarithmic expression 5log2 (x + 6) – 4log2y Write the expression as a single logarithm whose coefficient is 1.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Determine the restrictions on the variable for the following expression log2 (x2-16)-log2 (2x-8) a. x>-4, x<4 b. x>-4 C. X> 4 d. x <- 4 e. x < -4, x>4 Vrite the expression as a single logarithm in simplest form. 2(x²-16)-log₂ (2x-8)