x+3 is a superscript
how would i work this
2006-08-14 06:05:49 · 9 answers · asked by iluvhipos 3 in Education & Reference ➔ Homework Help
log (6) = x+3 i think
2006-08-14 06:09:53 · answer #1 · answered by Domi 2 · 0⤊ 0⤋
So, you're saying it is e^(x + 3) = 6.
Well, look at it like this.
When you multiply x^2 (x^3), do you add the exponents or multiply them?
Well, you know you keep the base, right? Then, you add the exponents.
x^2 * x^3 = x^(2 + 3) = x^5
So, separte the e^whatever into two terms being multiplied.
e^(x + 3) = e^x * e^3
So, now we've got...
e^x * e^3 = 6
You say to find x, so you can divide by e^3.
e^x = 6 / (e^3)
Now, change it to a logarithm equation.
log_e[6 / (e^3)] = x
I think that's it. I don't know exactly what your instructor is asking for, but since you said ot find an equivalent expression for x, that's as best I can do. :-)
2006-08-14 07:00:32 · answer #2 · answered by Anonymous · 0⤊ 0⤋
The natural log (ln) needs to be taken on each side. The result would be:
x + 3 = ln(6)
Figure out the ln(6). Subtract 3 from that. And you have your answer for x.
2006-08-14 06:13:01 · answer #3 · answered by Zef_66 3 · 0⤊ 0⤋
to resolve this question you should use the formulation (a+b)^2 = a^2 + 2ab + b^2 (2x+3)^2+2(2x+3)(x-a million)+(x-a million)^2 The above expression is contained in the fashion a^2 + 2ab + b^2 it is a selection for (a+b)^2 So if we evaluate (2x+3)^2 = a AND (x-a million)^2 = b (2x+3)^2+2(2x+3)(x-a million)+(x-a million)^2 must be expressed as: (2x+3 + x-a million)^2 = (4x + 2)^2 back increasing in accordance to the formulation (a+b)^2 = a^2 + 2ab + b^2 (the position now a = 4x and b = 2) we've: (4x)^2 + 2*4x*2 + (2)^2 =16(x^2) + 16x + 4 consequently the answer's 16(x^2) + 16x + 4
2016-12-06 12:53:14 · answer #4 · answered by ? 3 · 0⤊ 0⤋
you would take the natural log (ln) of e -they cancel- and the natural log of 6 so that the expression becomes
x+3= ln6
since ln6 is an actual number the equation can then be solved
2006-08-14 06:10:14 · answer #5 · answered by QB 3 · 0⤊ 0⤋
Well I am not sure if this helps...
e^(x+3) = 6
is the same as-
e^x * e^3 = 6
then simplifying - (assuming we know the value of e but not x)
e^x = 6/(e^3)
-Vic
2006-08-14 06:13:53 · answer #6 · answered by Vic 3 · 0⤊ 1⤋
x = ln(6) - 3
2006-08-14 06:15:37 · answer #7 · answered by Gerda 2 · 0⤊ 0⤋
2 oz's + 2 oz's = a Quarter pound
2006-08-14 06:10:56 · answer #8 · answered by Purpslinger 2 · 1⤊ 3⤋
you doing any of your own homework today?
2006-08-14 06:11:14 · answer #9 · answered by Anonymous · 0⤊ 2⤋