4⁴⁵ si 6³⁰
Observatie: Cum avem baze diferite, vom aduce bazele la acelasi exponent.
4⁴⁵ = ( 4³ )¹⁵ = 64¹⁵
6³⁰ = ( 6² ) ¹⁵ = 36¹⁵
64¹⁵ > 36 ¹⁵ ==> 4⁴⁵ > 6³⁰
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3¹² si 27⁶
27⁶ = ( 3³ ) ⁶ = 3¹⁸
3¹² < 3¹⁸ ==> 3¹² < 27⁶
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2²¹ < 2 x 3²⁰; deoarece 2 x 2²⁰ < 2 x 3²⁰ ; 2²⁰ < 3²⁰
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3³² si ( 2 x 5 )¹⁶
( 3⁴ )⁸ = 81⁸
( 2 x 5 ) ¹⁶ = ( 10²)⁸ = 100⁸
81⁸ < 100⁸ ==> 3³² < ( 2 x 5 )¹⁶
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10⁵ si 5⁸
10⁵ = 2⁵ x 5⁵ = 32 x 5⁵
5⁸ = 5⁵ x 5³ = 125 x 5⁵
32 x 5⁵ < 125 x 5⁵ ==> 10⁵ < 5⁸
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