SOLUTION: 2.5^x=75 That arrow up sign and then the x is representing that the x is and exponent

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 2.5^x=75 That arrow up sign and then the x is representing that the x is and exponent      Log On


   

Question 191227: 2.5^x=75
That arrow up sign and then the x is representing that the x is and exponent
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Apply logarithms:
2.5^x=75
x = log2.5(75) -- that's log base 2.5 of 75
x = log(75)/log(2.5)
x = 4.712