Question

02) Resolva:
a) 7*=49
b) 2*+4=2r
c)5*-3=125
d)3*+2=243
e) 2 5*=128

me ajudemmm​

Answer 1

Explicação passo-a-passo:

$1)a) \: \: \: 64 = {2}^{2x} \\ \\ 64 \div 2 \\ 32 \div 2 \\ 16 \div 2 \\ 8 \div 2 \\ 4 \div 2 \\ 2 \div 2 \\ 1 \\ \\ 64 = {2}^{6} \\ \\ {2}^{6} = {2}^{2x} \\ 6 = 2x \\ \frac{6}{2} = x \\ 3 = x$

$b) {3}^{x} = 27 \\ \\ 27 \div 3 \\ 9 \div 3 \\ 3 \div 3 \\ 1 \\ \\ 27 = {3}^{3} \\ \\ {3}^{x} = {3}^{3} \\ x = 3$

${3}^{2x - 2} = 81 \\ \\ 81 \div 3 \\ 27 \div 3 \\ 9 \div 3 \\ 3 \div 3 \\ 1 \\ \\ 81 = {3}^{4} \\ \\ {3}^{2x - 2} = {3}^{4} \\ 2x - 2 = 4 \\ 2x = 4 + 2 \\ 2x = 6 \\ x = \frac{6}{2} \\ x = 3$

$d) \: \: \: {9}^{4x } = 27 \\ \\ fatore \: \: \: 9 \: \: \: e \: \: \: 27 \\ 9 = {3}^{2} \: \: \: \: \: 27 = {3}^{3} \\ \\ {( {3}^{2} )}^{4x} = {3}^{3} \\ 2 \times 4x = 3 \\ 6x = 3 \\ x = \frac{3}{6} \\ x = \frac{3 \div 3}{6 \div 3} \\ x = \frac{1}{2}$