Question

exercitiul 10 fara a) si fara f) pls♥

Answer 1

b) 3^(2x - 1) = 243 = 3 × 81 = 3 x 3^4 = 3^5
2x - 1 = 5
2x = 6
x = 3

c) 4^(2x + 3) = 64
4^(2x + 3) = 4 x 16 = 4 x 4² = 4³
2x + 3 = 3
x = 0

d) 4^x (1 + 4 + 16) = 21 × 4^x = 336
4^x = 336:21 = 16 = 4²
x = 2

e) 2^(2x + 1) + 2^(2x + 3) + 2^(2x + 2) = 896 = 2^7 × 7
2^2x (2 + 8 + 4) = 2^7 × 7
14 × 2^2x = 7 × 2^7
2 × 2^2x = 2^7
2^(2x + 1) = 2^7
2x + 1 = 7
2x = 6
 x = 3