2. 65n + 6 = 1296 notice that 1296 = 64 so.......we have
65n + 6 = 64 and equating exponents, we have
5n + 6 = 4 subtract 6 from both sides
5n = -2 divide both sides by 5
n = -2/5
7. log2 9 + log2 a = log2 13 and we can write
log2 (9 * a) = log2 (13) and since the logs are the same we have
9a = 13 divide both sides by 9
a = 13/9
8. log5 (x + 2) - log 5 11 = log5 121 and we can write
log 5 [ (x + 2 ) / 11 ] = log 5 121 and again, since the logs are the same we can solve
(x + 2) / 11 = 121 multiply both sides by 11
x + 2 = 1331 subtract 2 from both sides
x = 1329
