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

Solve for x please. I need step-by-step explanation. Thank you. ​-example-1
User Ian Viney
by
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1 Answer

15 votes
15 votes

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
User Valerio Cocchi
by
3.4k points
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