Aptitude - Logarithm - Discussion

Discussion Forum : Logarithm - General Questions (Q.No. 14)
14.
If logx y = 100 and log2 x = 10, then the value of y is:
210
2100
21000
210000
Answer: Option
Explanation:

log 2 x = 10         x = 210.

logx y = 100

y = x100

y = (210)100     [put value of x]

y = 21000.

Discussion:
6 comments Page 1 of 1.

Satish said:   1 decade ago
log2x = 10 can be written as logx2= 1/10.

So we have,

logxy = 100 and logx2= 1/10.

Now lets divide them,

logxy / logx2= 100/10 = 10.

So the result would be log2y = 10.

Which gives us why = 2 10.

This is what I got as an answer! please correct me where I'm going wrong! : (.

Felix said:   1 decade ago
@Serif.

The error you have made is that instead of dividing by 1/10 you have just divided by. Otherwise the Method you followed is correct.

Preethi said:   1 decade ago
Please explain me I did not understand.

Deepanesh said:   5 years ago
Anyone Solve this by using the formula.

G mahendra Kumar said:   4 years ago
Good, Thanks for solving @Satish.

Alok Paramanik said:   4 years ago
@Satish.

Logxy = 100 and logx2= 1/10.

Now lets divide them,
Logxy / logx2= 100/ (1/10) = 1000.

So the result would be log2y = 1000.
This gives us y = 2^1000.

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