Question

Solve for x: \frac{ 1 }{ 27 }=9^{7x+3}

Answer 1

I will adjust the format.. one moment..

Answer 2

make the bases of 2 sides equal to each other then u can equate the powers and find the value of x.

Answer 3

\[1/27=9^7x+3\]

Answer 4

u mean\[\frac{ 1 }{ 27 }=9^{7x+3}\]

Answer 5

i get 3^3?

Answer 6

yes, sorry

Answer 7

np :) ... yeah u r close but note that\[\frac{1}{27}=\frac{1}{3^3}=3^{-3}\]

Answer 8

oh of course! got that..

Answer 9

and then make the 9 = 3^2?

Answer 10

yeah...quite right

Answer 11

\[3^{-3}=3^{14x+6}\]

Answer 12

Right...

Answer 13

now go for solving for x

Answer 14

\[-\frac{ 9 }{ 14 }\]

Answer 15

you rock! thanks for the help.. the -3 is what got me! :)

Answer 16

yw :)