Question

a) (4 la puterea x)²=2 la puterea 8
B) (10 la puterea x)totul la puterea 5*100=(2⁴*5⁴)totul la puterea 8
C) (5²)totul la puterea x+³=5⁴ la puterea x*5²
D) x:(2³)totul la puterea 0=1
E) (3 la puterea x)totul la puterea 5=3 la puterea 10*3 la puterea 5
F) (7⁴)totul la puterea x=(7 la puterea 5)²²
G) x : (2²*2 la puterea 3)=4
H) x+(2²) totul la puterea 5=2 la puterea 3*2 la puterea 7

Answer 1

A) (4ˣ)²=2⁸  2⁴ˣ=2⁸    4x=8  x=2

B) (10ˣ)⁵*100=(2⁴*5⁴)⁸
10⁵ˣ*10²=(10⁴)⁸
10⁵ˣ⁺²=10³²
5x+2=32
5x=30
x=6

C) (5²)ˣ⁺³ =5⁴ˣ*5²
5²ˣ⁺⁶ =5⁴ˣ⁺²
2x+6=4x+2
2x=4
x=2

D) x:(2³)⁰=1
x:1=1
x=1

E) (3ˣ)⁵=3¹⁰*3⁵
3⁵ˣ=3¹⁵
5x=15
x=3

F) (7⁴)ˣ=(7⁵)²²
7⁴ˣ=7¹¹⁰
4x=110
x=55/2=27,5

G) x : (2²*2³)=4
x : 2⁵=2²
x  =2⁷

H) x+(2²)⁵=2³*2⁷ x+2¹⁰=2¹⁰
x=0