Click to Chat

1800-2000-838

+91-120-4616500

CART 0

• 0

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
Ashwathy Menon Grade: Upto college level
```        Q.1} 1/5 < log of 2 to the base 10 < 1/3.......................
can u tell whether this is true or false?? when i tried got the statement as false..................```
8 years ago

17 Points
```										Lets assume the statement is true.
log102> 1/5
logxy > z implies that y > xz
Therefore,
2 > 101/5
or 25>(101/5)5  (raising both sides to power 5)
or, 32>10, which is correct.
Now consider the other inequality.
log102< 1/3
Again, logxy > z implies that y > xz
Therefore 2 < 101/3
or, 23>(101/3)3  (raising both sides to power 3)
or, 8>10, which is not true.
Hence, log102> 1/5 is right, but  log102< 1/3 does not hold.
So 1/5 < log of 2 to the base 10 < 1/3 is False

```
8 years ago
Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »
• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: Rs. 15,900
• View Details