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Algebra

New kid on the Block

 Joined: 20 Feb 2012 Post: 15
27 Apr 2012 16:12:33 IST
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Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra

4^n=16384 - how to find n ?

Scorching goIITian

Joined: 10 Feb 2012
Posts: 262
27 Apr 2012 16:30:00 IST
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only way is to factorize 16384

Scorching goIITian

Joined: 10 Feb 2012
Posts: 262
27 Apr 2012 16:30:23 IST
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16384=256*64

Scorching goIITian

Joined: 10 Feb 2012
Posts: 262
27 Apr 2012 16:31:31 IST
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16384=4^(7)n=7I think you had understood .Pls click like

New kid on the Block

Joined: 27 Apr 2012
Posts: 27
28 Apr 2012 14:21:06 IST
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you can also solve it by taking log both the sides ....

like

4n = 16384

Taking log both the sides…

n log 4 = log 16384

log 16384 = 7 log 4

so ,

n log 4 = 7 log 4

which gives n = 7,

you can also solve it by equation LHS and RHS

4n = 16384

So , 4n = 47

which gives n = 7

which gives n = 7,

Scorching goIITian

Joined: 2 Jan 2012
Posts: 213
29 Apr 2012 18:16:21 IST
0 people liked this

n=7

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