2^(x)+3^(x+1)=6
2006-12-28 13:41:48 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
TI-83 says x = 0.4041302
2006-12-28 13:48:20 · answer #1 · answered by Philo 7 · 0⤊ 0⤋
No algebraic method to isolate x so you need to go for technology:
> fsolve(2^x+3^(x+1)=6,x);
.4041301962
like poster #1.......
2006-12-28 22:56:24 · answer #2 · answered by a_math_guy 5 · 0⤊ 0⤋
The answer is OBVIOUSLY _______ but I am not giving it to you because, why would you want to Even know the following equation if it wan´t for your homework? You know, before I became a famous Norwegian scientist, I was a school teacher, and coping someone Else's problems is plagiarism... You will get in a lot of trouble missy.
-Your Norwegian scientist,
Bertha Johansson
2006-12-28 21:48:51 · answer #3 · answered by I'm not strange, just unique 2 · 0⤊ 2⤋
2^(x) + 3^(x + 1) = 6
e^(x ln 2) + e^[(x + 1) ln 3] = 6
(e^x)^(ln2) + e^[(xln3 + ln3)] = 6
(e^x)^(ln2) + e^(xln3) * e^(ln3) = 6
(e^x)^(ln2) + (e^x)^(ln3) * 3 = 6
There doesn't seem to be a way to isolate the x that I know of.
2006-12-28 22:51:32 · answer #4 · answered by Puggy 7 · 0⤊ 0⤋