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Encyclopedia Galactica => Science => : gh0st June 26, 2012, 10:33:41 AM

: variables on exponents
: gh0st June 26, 2012, 10:33:41 AM

http://www.dabbleboard.com/draw?b=Guest1185148&i=0&c=eb57c4cbf16f0357dc53feef85102c1819d8847b


whats the value of x?

: Re: variables on exponents
: p_2001 June 26, 2012, 11:18:57 AM

solution : -


LHS                           == RHS                               // rhs and lhs
((4)^2x)/(8*4*4*4) = =  (4rsqrt(2))^x                // remove (-3) and place 4*4*4 in denominator


((2)^4x) == ((2)^(5x/2)) * (2^9)                        //bring everything in terms of 2


now solve it       

2^(3x/2) == 2^9              equate the powers because the bases are same

--> x=6

: Re: variables on exponents
: gh0st June 26, 2012, 11:59:47 AM

damn i was trying to find the sames bases too but i failed btw 3:00 am here :P ty man you know everything

: Re: variables on exponents
: s3my0n June 26, 2012, 12:19:16 PM

Here you go:
http://www.dabbleboard.com/draw?b=Guest1185168&i=0&c=51851375e23fe2de4d705f76f6a999cfc08c0268

: Re: variables on exponents
: gh0st July 02, 2012, 04:20:36 AM

(http://www.usmp.edu.pe/admi/admision/examenexon/pics/28.jpg)


how do you do this? I try to descompose 155 but cant find the answer :/

: Re: variables on exponents
: s3my0n July 02, 2012, 04:25:31 AM

: gh0st  July 02, 2012, 04:20:36 AM

(http://www.usmp.edu.pe/admi/admision/examenexon/pics/28.jpg)


how do you do this? I try to descompose 155 but cant find the answer :/

155 = 5^3 + 5^2 + 5^1

: Re: variables on exponents
: gh0st July 02, 2012, 04:47:00 AM

(http://www.usmp.edu.pe/admi/admision/examenexon/pics/Preg35.jpg)
this one is very tricky :/
i suppose a=3;b=5;c=1?

: Re: variables on exponents
: p_2001 July 02, 2012, 05:58:36 AM

dont decompose 155... take (5)^x-2 common and see how quickly it solves itself...