Question

@AnImEfReaK

Answer 1

\[3^{x+1} = \frac{ 27 }{ 3^{x} }\]

Answer 2

Simplify 27 it is 3^ ?

Answer 3

3

Answer 4

well rewrite it in index form using index laws

\[27 = 3^3....so.... \frac{27}{3^x} = 3^{3 - x}\]

so equate the powers again

x + 1 = 3 - x

solve for x

Answer 5

\(\dfrac{3^3}{3^x}\)

Answer 6

Can you simplify that?

Answer 7

yh

Answer 8

So it would be?

Answer 9

3/ x

Answer 10

So use the powers, as all the 3's are the same.

Answer 11

ahan so the answer is 1 ?

Answer 12

\(x-1=\dfrac {3}{x}\)

Answer 13

@AnImEfReaK nd @campbell_st did u guys got x=1 as an answer ?

Answer 14

yes thats the answer, and you can check by substituting...

Answer 15

thank you guys

Answer 16

Yeah x-1=3-x
2x=2
x=1.

Answer 17

That's correct :)