anonymous
  • anonymous
What is 27^(2x) = 9^(x-3)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
caishaax3
  • caishaax3
do you need x?
anonymous
  • anonymous
Yes. Sorry I forgot to write that.
caishaax3
  • caishaax3
x=-3/2

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jdoe0001
  • jdoe0001
what's \(3^2=?\) and, say what's \(3^3=?\)
anonymous
  • anonymous
Can you explain how to get that?
jdoe0001
  • jdoe0001
\(\large { {\color{brown}{ 27}}^{2x} = {\color{brown}{ 9}}^{x-3}\qquad \begin{cases} 3^2\to {\color{brown}{ 9}}\\ 3^3\to {\color{brown}{ 27}} \end{cases}\qquad thus\implies (3^3)^{2x}=(3^2)^{x-3} }\) see how to get "x" now?
anonymous
  • anonymous
Um...not exactly sure....Am I suppose to combine the 2x and x-3?
jdoe0001
  • jdoe0001
\(\large { {\color{brown}{ 27}}^{2x} = {\color{brown}{ 9}}^{x-3}\qquad \begin{cases} 3^2\to {\color{brown}{ 9}}\\ 3^3\to {\color{brown}{ 27}} \end{cases}\qquad thus\implies (3^3)^{2x}=(3^2)^{x-3} \\ \quad \\ 3^{3\cdot (2x)}=3^{2\cdot (x-3)}\impliedby \begin{array}{llll} \textit{same base, thus}\\\ \textit{exponents must also equal each other} \end{array}\\ \quad \\ 3(2x)=2(x-3) }\)
jdoe0001
  • jdoe0001
\(\large a^{whatever} = a^{whatever}\) means that whatever = whatever
anonymous
  • anonymous
Ohh! So then: 6x=2x-6 4x=-6 x=-2/3
anonymous
  • anonymous
Is that right?
jdoe0001
  • jdoe0001
yeap
jdoe0001
  • jdoe0001
hmmm actually wait
anonymous
  • anonymous
Thanks!
jdoe0001
  • jdoe0001
\(\bf 6x=2x-6\implies 4x=-6\implies x=-\cfrac{\cancel{6}}{\cancel{4}}\implies x=-\cfrac{3}{2}\)
anonymous
  • anonymous
Oh whoops! Thanks for catching that!

Looking for something else?

Not the answer you are looking for? Search for more explanations.