Question

Determinati termenul x astfel incat:
a)(7PutereaX)puterea9=7 puterea 81
b)((8puterea5)puterea 40=2 puterea 30x
c)10puterea13=50puterea13:x puterea13
d)(20:x)puterea30=4puterea30

Answer 1

a) (7ˣ)⁹=7⁸¹
7⁹ˣ =7⁸¹
9x=81
x=81 : 9
x=9

b)(8⁵)⁴⁰= 2³⁰ˣ
8²⁰⁰ = 2³⁰ˣ
2⁶⁰⁰= 2³⁰ˣ
30x=600
x=600 : 30
x= 20

c) 10¹³ =50¹³ : x¹³
x¹³= 50¹³ : 10¹³
x¹³= 5¹³

d) (20 : x)³⁰ =4³⁰
20³⁰ : x³⁰= 4³⁰
x³⁰= 20³⁰ : 4³⁰
x³⁰= 5³⁰