Question

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

Answer 1

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`