Explicație pas cu pas:
[tex] \bf \big(7^{12}\big)^x=49^9 \cdot\big(7^{x}\big)^{6}[/tex]
[tex] \bf 7^{12 \cdot x}=\big(7^{2}\big)^{9} \cdot7^{x \cdot6}[/tex]
[tex]\bf 7^{12x}=7^{2\cdot 9} \cdot7^{6x}[/tex]
[tex]\bf 7^{12x}=7^{18} \cdot7^{6x}[/tex]
[tex]\bf 7^{12x}=7^{18 + 6x} \implies 12x = 18 + 6x[/tex]
[tex]\bf 12x - 6x= 18[/tex]
[tex]\bf 6x= 18 \: \: \: \: \bigg|: 6[/tex]
[tex] \red{ \underline{\bf \: x= 3 \: }}[/tex]
