SOLUTION: Solve for x {{{2^x = 5}}} I did x = {{{ log(2, 5) }}} x = {{{(ln 5)/(ln 2)}}} x = 1.98 But apparently my answer is wrong.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for x {{{2^x = 5}}} I did x = {{{ log(2, 5) }}} x = {{{(ln 5)/(ln 2)}}} x = 1.98 But apparently my answer is wrong.       Log On


   



Question 317830: Solve for x
2%5Ex+=+5
I did
x = +log%282%2C+5%29+
x = %28ln+5%29%2F%28ln+2%29
x = 1.98
But apparently my answer is wrong.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What if you used logs to the base 10?
2%5Ex+=+5
log%282%5Ex%29+=+log%285%29
x%2Alog%282%29+=+log%285%29
x+=+log%285%29%2Flog%282%29
x+=+.699%2F.301
x+=+2.322
I got the same answer using natural logs
Did you goof with the calculator?