Question

Rezolvații ecuațiile:
Ofer 40 de puncte​

Answer 1

Explicație pas cu pas:

${2}^{x} = 32 \iff {2}^{x} = {2}^{5} \\ x = 5$

${3}^{x} = 81 \iff {3}^{x} = {3}^{4} \\ x = 4$

${9}^{2 \cdot x} = {81}^{4} \iff {9}^{2 \cdot x} = {( {9}^{2} )}^{4} \\ {9}^{2 \cdot x} = {9}^{2 \cdot 4} \implies x = 4$

${8}^{3 \cdot x} = {64}^{3} \iff {8}^{3 \cdot x} = {( {8}^{2} )}^{3} \\ {8}^{3 \cdot x} = {8}^{3 \cdot 2} \implies x = 2$

${3}^{x+2}+{3}^{x} = 270 \iff {3}^{x}({3}^{2}+1) = 270 \\ {3}^{x}(9+1) = 270 \iff {3}^{x} \cdot 10 = 270 \\ {3}^{x} = 27 \iff {3}^{x} = {3}^{3}\\ \implies x = 3$

Answer 2

Salut !

^ = la puterea

a) 2^x = 32 32 = 2^5 => x = 5

b) 3^x = 81 81 = 3^4 => x = 4

c) 9^2•x = 81^4 9^2•x = (9^2)^4 9^x•2 = 9^2•4 => x = 4

d) 8^3•x = 64^3 8^3•x = (8^2)^3 8^3•x = 8^3•2 => x = 2

Spor !