Question

1,296^(2n)=216^(n+10) help please

Answer 1

= (6^4)^2n = (6^3)^n+10
= 6^8n = 6 ^ 3n + 30
= 3n + 30 = 8n
= 5n = 30
=> n = 30/5
n = 6

Answer 2

parth i think u r correct!!

Answer 3

Yes @ParthKohli is correct, I did it the long way and just cancelled the 10/2n to 10/n rather than 5/n.

Answer 4

\[(6^4)^2n = (6^3)^n+10\]
\[ 6^8n = 6 ^ 3n + 30\]
\[3n + 30 = 8n\]
\[\rightarrow n = 30/5\]
\[n = 6\]

Answer 5

@Rohangrr check your R.H.S in the first step, the +10 is in the exponent. It's not added to 6^3n

Answer 6

@ParthKohli its whole exponential!