Maka nilai x sama dengan....Tolong dengan caranya ya kak

Maka nilai x sama dengan….Tolong dengan caranya ya kak

Jawaban:

$x = 2$

Penjelasan dengan langkah-langkah:

$frac{ {9}^{x} times {3}^{7} times {27}^{3} }{3 times {81}^{4} } = 27 \ frac{ { {(3}^{2}) }^{x} times {3}^{7} times { {(3}^{3} )}^{3} }{ {3}^{1} times { {(3}^{4} )}^{4} } = {3}^{3} \ frac{ {3}^{2 times x} times {3}^{7} times {3}^{3 times 3} }{ {3}^{1} times {3}^{4 times 4} } = {3}^{3} \ frac{ {3}^{2x} times {3}^{7} times {3}^{9} }{ {3}^{1} times {3}^{16} } = {3}^{3} \ frac{ {3}^{2x + 7 + 9} }{ {3}^{1 + 16} } = {3}^{3} \ frac{ {3}^{2x + 16} }{ {3}^{17} } = {3}^{3} \ {3}^{(2x + 16) - (17)} = {3}^{3} \ {3}^{2x + 16 - 17} = {3}^{3} \ {3}^{2x - 1} = {3}^{3} \ 2x - 1 = 3 \ 2x = 3 + 1 \ 2x = 4 \ x = frac{4}{2} \ x = 2$

Semoga Membantu :)