Question

Găseşte necunoscuta: 2*8^5x-6= 4^44 =​

Answer 1

Răspuns:

Explicație pas cu pas:

$2 \times {8}^{5x - 6} = {4}^{44}$

$2 \times ( {2}^{3} ) {}^{5x - 6} = (2 {}^{2} ) {}^{44}$

$2 \times 2 {}^{3 \times (5x - 6)} = 2 {}^{2 \times 44}$

$2 \times {2}^{15x - 18} = {2}^{88}$

$2 {}^{1 + 15x - 18} = {2}^{88}$

$2 {}^{15x - 17} = {2}^{88}$

$15x - 17 = 88$

$15x = 88 + 17$

$15x = 105$

$x = 105 \div 15 = \bf{} 7$