Im stuck on a question, and need to know how to answer 3 raised to (X squared plus 3) equals 97.
Thank you.
2007-02-22 07:26:53 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Take the log of both sides. Bring down the exponent in front of the log. Solve for x.
2007-02-22 07:32:22 · answer #1 · answered by Anonymous · 0⤊ 0⤋
3^(x^2+3)= 97
3x * 3x + 27 = 97
9x + 27 = 97
-27 -27
9x = 70
{divide both sides by 9}
x = 7.777...
2007-02-22 07:43:26 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Use log.
log(3^(x^2+3)) = log(97)
(x^2 + 3)log(3) = log(97)
x^2 + 3 = log(97)/log(3)
x^2 = log(97)/log(3) - 3
x = sqrt(log(97)/log(3) - 3) = 1.078926...
2007-02-22 07:35:53 · answer #3 · answered by Dave 6 · 0⤊ 0⤋
take the log base 3 of both sides
2007-02-22 07:32:57 · answer #4 · answered by creepy_mitch 2 · 0⤊ 0⤋