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Cum se află ecuatia asta (8la puterea5)totul la40=2la puterea 30•x

Răspuns :

^=la putere 600=30x
(8^5)^40=2^30x x=600:30
[(2^3)^5]^40=2^30x x=20
2^3•5•40=2^30x
2^600=2^30x
(8⁵)⁴⁰ = 2³⁰ˣ
((2³)⁵)⁴⁰ = 2³⁰ˣ
(2¹⁵)⁴⁰ = 2³⁰ˣ
2⁶⁰⁰ = 2³⁰ˣ
600 = 30x
x = 600 : 30
x = 20