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



This Question is Closed

johnnyalln
Best Response
You've already chosen the best response.
0
I will adjust the format.. one moment..

mukushla
Best Response
You've already chosen the best response.
1
make the bases of 2 sides equal to each other then u can equate the powers and find the value of x.

johnnyalln
Best Response
You've already chosen the best response.
0
\[1/27=9^7x+3\]

mukushla
Best Response
You've already chosen the best response.
1
u mean\[\frac{ 1 }{ 27 }=9^{7x+3}\]

johnnyalln
Best Response
You've already chosen the best response.
0
i get 3^3?

johnnyalln
Best Response
You've already chosen the best response.
0
yes, sorry

mukushla
Best Response
You've already chosen the best response.
1
np :) ... yeah u r close but note that\[\frac{1}{27}=\frac{1}{3^3}=3^{3}\]

johnnyalln
Best Response
You've already chosen the best response.
0
oh of course! got that..

johnnyalln
Best Response
You've already chosen the best response.
0
and then make the 9 = 3^2?

mukushla
Best Response
You've already chosen the best response.
1
yeah...quite right

johnnyalln
Best Response
You've already chosen the best response.
0
\[3^{3}=3^{14x+6}\]

mukushla
Best Response
You've already chosen the best response.
1
Right...

mukushla
Best Response
You've already chosen the best response.
1
now go for solving for x

johnnyalln
Best Response
You've already chosen the best response.
0
\[\frac{ 9 }{ 14 }\]

johnnyalln
Best Response
You've already chosen the best response.
0
you rock! thanks for the help.. the 3 is what got me! :)

mukushla
Best Response
You've already chosen the best response.
1
yw :)