7 la puterea x+1 = 49 la puterea 3

Răspuns :

7*7^x=7^2^3

7^x=7^6/7

7^x=7^5

asadar x=5


 

[tex]\displaystyle \bf\\7^{x+1}=49^3\\\\7^{x+1}=\Big(7^2\Big)^3\\\\7^{x+1}=7^{2\times3}\\\\7^{x+1}=7^6\\\\x+1=6\\\\x=6-1\\\\\boxed{\bf x=5}[/tex]