tag:blogger.com,1999:blog-2893315201359920156.post2405707293484580733..comments2023-10-28T20:35:12.856+05:30Comments on Best Brain Teasers: Math Algebra Equation Problemlaveshhttp://www.blogger.com/profile/03731980294342074301noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-2893315201359920156.post-51712317352675819632014-10-26T19:51:50.900+05:302014-10-26T19:51:50.900+05:30(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)
split 30 in...(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)<br />split 30 into 2*3*5, now compare ...<br /><br />(2^x) ((2*3*5)^3) = (2^3) (3^3) (4^3) (5^3)<br />=> (2^x) (2^3)(3^3)(5^3) = (2^3) (3^3) (4^3) (5^3)<br /><br />so, 2^x = 4^3 <br />=> 2^x = (2^2)^3 <br /><br />x = 6<br /><br />- Sudhanshu Kumar<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-18492636960211292742014-10-26T17:57:34.225+05:302014-10-26T17:57:34.225+05:30X=6X=6Vijayhttps://www.blogger.com/profile/18421291563609148200noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-38379127969157529002014-10-26T16:36:50.912+05:302014-10-26T16:36:50.912+05:30(2xX) (30x3) = (2x3) (3x3) (4x3) (5x3)
2X x 90 = 6...(2xX) (30x3) = (2x3) (3x3) (4x3) (5x3)<br />2X x 90 = 6 x 9 x 12 x 15<br />2X = 9720 / 90<br />2X = 108<br />Therefore X = 54Anonymoushttps://www.blogger.com/profile/11707310173730827858noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-62696531388182349752014-10-26T00:13:30.004+05:302014-10-26T00:13:30.004+05:302*3*5=30, thus $30^{3}=2^{3}*3^{3}*5^{3}$
so $2^{x...2*3*5=30, thus $30^{3}=2^{3}*3^{3}*5^{3}$<br />so $2^{x}=4^{3}$<br />$2^{x}=64$<br />x=log2(64)=6RIZOPOULOS GEORGIOShttps://www.blogger.com/profile/05401576457945165575noreply@blogger.com