Algebra> solve for x: x-1/log 3 (9-3 x )-3>=1

solve for x: x-1/log3(9-3x)-3>=1

chinmay mishra , 10 Years ago

Grade 11

1 Answers

SHAIK AASIF AHAMED

Last Activity: 10 Years ago

$x-1\geq$ log₃(9-3^x)-3

$x-1\geq$ log₃(9-3^x)-log₃₂₇

$x-1\geq$ log₃((9-3^x)/27)

$x-1\geq$ log₃((3^-1-3^x-3))

3^x-1 $\geq$ 3^-1-3^x-3

3^x $\geq$ 1-3^{x-2 (multiplying with 3 on both sides)}

9.3^x $\geq$ 9-3^{x (multiplying with 9 on both sides)}

10.3^x $\geq$ 9

3^x $\geq$ 0.9

x $\geq$ log₃0.9

so X $\geq$ -0.095

Thanks & Regards

Jitender Singh

IIT Delhi

askIITians Faculty

Provide a better Answer & Earn Cool Goodies

Enter text here...

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

What is a binomial expression?

Algebra

1 Answer Available

Last Activity: 10 Month ago(s)

Can we divide two vectors? If this is possible then how?

Algebra

1 Answer Available

Last Activity: 10 Month ago(s)

How do you write “the product of 18 and q” as an algebraic expression?

Algebra

1 Answer Available

Last Activity: 10 Month ago(s)

दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

Algebra

0 Answer Available

Last Activity: 1 Year ago(s)

Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

Algebra

1 Answer Available

Last Activity: 2 Year ago(s)

View all Questions

Algebra> solve for x: x-1/log 3 (9-3 x )-3>=1

solve for x: x-1/log3(9-3x)-3>=1

chinmay mishra , 10 Years ago

SHAIK AASIF AHAMED

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

Other Related Questions on Algebra

What is a binomial expression?

Algebra

Can we divide two vectors? If this is possible then how?

Algebra

How do you write “the product of 18 and q” as an algebraic expression?

Algebra

दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

Algebra

Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

Algebra