Question

Solve for x please. I need step-by-step explanation. Thank you. ​

Answer 1

Step-by-step explanation:

• $(7x)^x=7^{7^7}$

log both sides:

• $log_7(7x)^x=log_7(7^{7^7})$
• $xlog_7(7x)=7^7$
• $x(1 +log_7x) = 7*7^6$
• $x(1 +log_7x) = 7^6(1+6)$
• $x(1 +log_7x) = 7^6(1+log_77^6)$

Compare both sides to get:

• $x=7^6$

or

• $x=117649$