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27 Apr 2012 16:12:33 IST

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exponents

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra

4^n=16384 - how to find n ?

Comments (5)

boywholived

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27 Apr 2012 16:30:00 IST

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only way is to factorize 16384

boywholived

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27 Apr 2012 16:30:23 IST

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16384=256*64

boywholived

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27 Apr 2012 16:31:31 IST

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16384=4^(7)n=7I think you had understood .Pls click like

Rushi Vyas

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28 Apr 2012 14:21:06 IST

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you can also solve it by taking log both the sides ....

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,

Click on like please ....

BASTIN JOSE

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29 Apr 2012 18:16:21 IST

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n=7

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