CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Definition of Ellipse

Solve the fol...

Question

Solve the following inequality:
${log}_{0.5} (3 x - 4) < {log}_{0.5} (x - 2)$

Open in App

Solution

$- {log}_{2} (3 x - 4) < - {log}_{2} (x - 2)$
${log}_{2} (3 x - 4) > {log}_{2} (x - 2)$
$3 x - 4 > x - 2$
$2 x > 2$
$x > 1$
$a n d 3 x - 4 > 0 a n d x > 2$
$x > \frac{4}{3} a n d x > 2$
$t h e r e f o r e, x ε (2, \infty)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following inequality:

{log}_{0.5} (x^{2} - 3 x + 4) - {log}_{0.5} (x - 1) < - 1

Q. Solve the following inequality:

{log}_{0.5} (x + 5)^{2} > {log}_{1 / 2} (3 x - 1)^{2}

Q. Solve the following inequality:

{log}_{0.5}^{2} x + {log}_{0.5} x - 2 ⩽ 0

Q. Solve the following inequalities.

l o g_{0.5} (3 x - 1) > l o g_{0.5} (3 - x) .

Q. Solve the following inequality:

{log}_{0.5} (4 - x) ⩾ {log}_{0.5} 2 - {log}_{0.5} (x - 1)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Ellipse and Terminologies

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Definition of Ellipse

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon