SOLUTION: 49=47.5*(2.7182)^(0.07*x) What is thw value of x

Algebra ->  Exponents -> SOLUTION: 49=47.5*(2.7182)^(0.07*x) What is thw value of x       Log On


   

Question 359001: 49=47.5*(2.7182)^(0.07*x)
What is thw value of x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
49=47.5%2A%282.7182%29%5E%280.07%2Ax%29
%282.7182%29%5E%280.07%2Ax%29=49%2F47.5
%282.7182%29%5E%280.07%2Ax%29=49%2F47.5
0.07x=log%282.7182%2C%2849%2F47.5%29%29
x=%281%2F0.07%29%2Alog%282.7182%2C%2849%2F47.5%29%29
highlight%28x=%281%2F0.07%29%2A%28log%28%2849%2F47.5%29%29%2Flog%28%282.7182%29%29%29%29 or approximately,
x=0.444165