Find the solution of the equation correct to fouir decimal palces.
a) ln(1 + x^(1/2)) = 2
b) 3^(1/(x - 4)) = 7
2007-11-18 11:33:10 · 2 answers · asked by Britt R 1 in Science & Mathematics ➔ Mathematics
In a), you need to start by raising e to the power of both sides of the equation. The left side becomes 1 + x^(1/2) and the right side becomes e^2. You can then solve by isolating x^(1/2) and squaring both sides of the equation.
In b), take the log base 3 of both sides. The left side becomes 1 / (x - 4) and the right side becomes log_3(7). (You can use the change of base formula to evaluate log_3(7) = ln(7) / ln(3), letting you use your calculator.) Then take the reciprocal of both sides and use simple algebra on the resulting first-order polynomial.
2007-11-20 19:21:31 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋
x=40.82
x=4.56458
2007-11-18 20:55:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋