Question

3³*×9²*×27*=81^5
X=?​

Answer 1

Răspuns:

2

Explicație pas cu pas:

${3}^{3x} \times {9}^{2x} \times {27}^{x} = {81}^{5} \\{3}^{3x} \times {( {3}^{2} )}^{2x} \times {( {3}^{3} )}^{x} = {( {3}^{4} )}^{5} \\ {3}^{3x} \times {3}^{4x} \times {3}^{3x} = {3}^{20} \\ {3}^{3x + 4x + 3x} = {3}^{20} \iff {3}^{10x} = {3}^{20} \\ 10x = 20 \implies x = 2$