Write an equivalent logarithimic expression for 6^x = 12
2007-06-22 07:30:24 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x = log12/ log6
2007-06-22 07:34:55 · answer #1 · answered by Alam Ko Iyan 7 · 0⤊ 0⤋
take ln of both sides to get:
ln (6^x) = ln (12)
now use log rules to bring the x out in front:
x ln (6) = ln (12)
now divide both sides by ln (6) to get:
x = ln (12) / ln (6)
2007-06-22 14:47:57 · answer #2 · answered by grompfet 5 · 0⤊ 0⤋
take log for both sides
log 6^x = log12
exponent rule of log: log a^x = x log a
x log6 = log12
divide log6 for both sides
x = log12 / log6
2007-06-22 14:47:33 · answer #3 · answered by 7 · 0⤊ 0⤋
that would mean converting exponential into log....ok
so 6^x = 12 would be......xlog6= 12
2007-06-22 14:44:51 · answer #4 · answered by }{!r@ 1 · 0⤊ 0⤋
6^x = 12
x log 6 = log 12
x = (log 12)/(log 6)
x â 1.387
.
2007-06-22 14:36:34 · answer #5 · answered by Robert L 7 · 0⤊ 0⤋