SOLUTION: If 2^x=5, then 5^x = ?

Algebra ->  Equations -> SOLUTION: If 2^x=5, then 5^x = ?      Log On


   

Question 1063231: If 2^x=5, then 5^x = ?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
If 2^x=5, then 5^x = ?

2%5Ex%22%22=%22%225

log2%5Ex%29%22%22=%22%22log5

x%2Alog2%22%22=%22%22log5

x%22%22=%22%22log5%2Flog2%22%22=%22%222.321928095

Raise 5 to the power of each side:

5%5Ex%22%22=%22%225%5E2.321928095

5%5Ex%22%22=%22%2249.97184792

Edwin