2007-01-02 05:44:26 · 10 answers · asked by Kat 1 in Science & Mathematics ➔ Mathematics
2187 = 3^n
Take log (base 10) on both sides
log (2187) = log (3^n)
3.3398 = n (log 3)
3.3398 = n (0.4771)
n = 3.3398 / 0.4771
n= 7
You can verify that 3^7 = 2187
2007-01-02 05:53:22 · answer #1 · answered by sanjayd_411 2 · 1⤊ 0⤋
First 2187 is divisible by 3. If you keep dividing
this by 3, you will see that 2187 = 3^7.
Thus 3^n = 3^7.
Take the log of both sides:
n log 3 = 7 log 3,
so n = 7.
2007-01-02 05:56:07 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋
by noting that 3^7 = 2187
just divide 2187 by 3 as long as possible.
or : n = 1/3 * log(2187)
2007-01-02 05:48:40 · answer #3 · answered by gjmb1960 7 · 0⤊ 0⤋
Take logarithms
2187 = 3^n
log 2187 = log 3^n
log 2187 = n log3
3.339848783 = n x 0.477121254
n = 3.339848783 / 0.477121254
n = 7
2007-01-02 08:45:44 · answer #4 · answered by lenpol7 7 · 0⤊ 0⤋
How many 3s do you have to multiply together to get 2187?
n=2, 3x3 = 9
n=3, 3x3x3 = 27
n=4, 3x3x3x3 = 81
n=5, 3x3x3x3x3x = 243
n=6, 3x3x3x3x3x3 = 729
n=7, 3x3x3x3x3x3x3 = 2187 !!!!!!!!
2007-01-02 05:51:18 · answer #5 · answered by MamaMia © 7 · 0⤊ 0⤋
log(3)2187 = n
2007-01-02 06:27:30 · answer #6 · answered by shoop.dogg 2 · 0⤊ 0⤋
Taking log of both sides
n log(3) = log(2187)
n = log(2187) / log(3) = 3.3398/0.4471 = 0.76
2007-01-02 05:49:15 · answer #7 · answered by Sheen 4 · 1⤊ 0⤋
take logs of each side
ln(2187)=(ln3)*n
n=ln(2187)/ln(3)
=7.690286021/1.098612289
=7
therefore,2187=3^7
i hope that this helps
2007-01-02 06:02:14 · answer #8 · answered by Anonymous · 0⤊ 0⤋
since 3^7=2187
therefor 3^n=3^7
therefor n=7
2007-01-02 06:04:44 · answer #9 · answered by mira 2 · 0⤊ 0⤋
12.6517[take the cube root]
2007-01-02 06:16:11 · answer #10 · answered by openpsychy 6 · 0⤊ 0⤋