Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

The solution set of the equation 4 log 9 x -6.x log 9 2 + 8 = 0 is ______.

The solution set of the equation 4log9 x  -6.xlog9 2 + 8 = 0 is ______.

Grade:12

2 Answers

Y RAJYALAKSHMI
45 Points
6 years ago
We have xlogay = ylogax
S, xlog9= 2log9x
4log9 x  -6.xlog2 + 8 = 0
=> (22)log9x – 6. 2log9x + 8 = 0
=> (2log9)2  - 6. 2log9x + 8 = 0
let 2log9x = y
Then, the given equation becomes, y2 – 6y + 8 = 0 and the solution is y = 4 & 2
when y = 4,  2log9x = 22  => log9x = 2 => x = 9= 81
when y = 2,  2log9x = 2  => log9x = 1 => x = 9
 
Ans:  Solution set = {9, 81}
 
 
 
 
 
Mostafijur Rahaman
40 Points
6 years ago
thnx

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free