2007-06-24 04:02:41 · 7 answers · asked by maumarcun 1 in Science & Mathematics ➔ Astronomy & Space
ln3/ln2, which is 1.584962501
2007-06-24 04:08:47 · answer #1 · answered by s_l_fitz 2 · 1⤊ 0⤋
2^x = 3
(1) Take the log of both sides... doesn't make any difference which log base you use.
log(2^x) = log(3)
Because log(a^b) - blog(a)
log(2^x)=2log(x)
Substituting
xlog(2)=log(3)
Multiplying both sides by 1/log(2)
x = [log(3)]/log(2)
You can do the work on a calculator... or a spreadsheet.
2007-06-24 11:19:51 · answer #2 · answered by gugliamo00 7 · 0⤊ 0⤋
1) use the identity: b^p = e^(p ln b)
e^(x ln 2) = 3
2) take the natural log of both sides, and solve.
~W.O.M.B.A.T.
2007-06-24 11:26:57 · answer #3 · answered by WOMBAT, Manliness Expert 7 · 0⤊ 0⤋
xlog2= log3
x= log3/log2
which =1.585
check it, it works.
2007-06-24 12:50:42 · answer #4 · answered by Jpressure 3 · 0⤊ 0⤋
ans: ln(3/2)
2007-06-24 11:06:29 · answer #5 · answered by ayan! 2 · 0⤊ 0⤋
2^x=3
xlog=log3
x=log3/log2. answer
2007-06-24 11:10:42 · answer #6 · answered by Anonymous · 1⤊ 0⤋
x=log3/log2=1.5849625
2007-06-24 11:16:44 · answer #7 · answered by Shy Lad 3 · 1⤊ 0⤋