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Ta có:\(2^{91}=2^{13.7}=\left(2^{13}\right)^7=8192^7\)
\(5^{35}=5^{5.7}=\left(5^5\right)^7=3125^7\)
Vì 8192 > 3125 nên \(2^{91}>5^{25}\)
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Trả lời :..............................................
.\(5^{91}>11^{59}\)
Hk tốt,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
k nhé
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\(2^{91}\)=2,475880079x1027
\(5^{35}\)=2,910383046x1024
Vay \(2^{91}\)>\(5^{35}\)
ta có:2^91>2^90 , 2^90=2^5^18=32^18
5^35<5^36 , 5^36=5^2^18=25^18
vì 32^18>25^18
=>2^91 > 5^35
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Bài 1:2^91=(2^13)^7=8192^7
5^35=(5^5)^7=3125^7
Mà 8192>3125=>8192^7>3125^7
=>2^91>5^35
Bài 2:5x+2 = 54
=> x+2 = 4
x = 4-2
x = 2
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a. \(107^{50}< 73^{75}\)
b. \(54^4< 21^{12}\)
c. \(2^{91}>5^{35}\)
d. \(3^{500}>7^{300}\)
e. \(122^{26}< 10^{51}\)
g. \(124^{30}>625^{23}\)
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a)Ta có: 10750=(1072)25<(1252)25=(53.2)25=56.25=5150
7375=(733)25>(253)25=(52.3)25=56.25=5150
=>10750<5150<7375
Vậy 10750<7375
b)Ta có: 544=(33.2)4=312.24
2112=(3.7)12=312.712
Vì 24<212<712
=>312.24<312.712
=>544<2112
539>291