Question

logarithms

Answer 1

If ln^2 x +3lnx -4 is non negative , then x must lie in the interval

Answer 2

@ganeshie8

Answer 3

see a quadratic sneaking in that ln expressions ?

Answer 4

yeah
x^2 + 3x - 4
got that

Answer 5

use a different symbol for substitution

Answer 6

lnx = t

Answer 7

t^2 + 3t + 4

Answer 8

question says that expression is non negative, right ?

Answer 9

t^2 + 3t + 4 >= 0

solve t

Answer 10

yes , does it mean positive

Answer 11

non negative means :
positive or 0

Answer 12

positive , means not 0

Answer 13

yes

Answer 14

ohmm

Answer 15

0 is not included in positive numbers

Answer 16

0 is neither positive nor negative

Answer 17

wait solving

Answer 18

i solved it actually but again i will wait

Answer 19

no

Answer 20

t^2 + 3t \(\color{red}{-}\) 4 >= 0

Answer 21

(t+4)(t-1) >= 0

Answer 22

argghhhh , yes

Answer 23

sry my badd

Answer 24

still need to solve x

Answer 25

e is one sollution

Answer 26

(t+4)(t-1) >= 0


t <= -4 OR t >= 1

yes ?

Answer 27

yes

Answer 28

lnx <= -4 OR lnx >= 1

Answer 29

so e is one sollution

Answer 30

1/e^4

Answer 31

you get infinitely many solutions

Answer 32

how how how

Answer 33

lnx <= -4 OR lnx >= 1

x <= e^(-4) OR x >= e

Answer 34

all numbers greater than e are also solutions

Answer 35

yes infinite sollution

Answer 36

for example, x=10 is a solution