Question

determine the common base of 4^2(x+5) - 11 = 245

Answer 1

\[4^{2 (x + 5 )} - 11 = 245\]

Answer 2

4^2(x+5) = 245 + 11
4^(2x + 10) = 256
4^(2x + 10) = 4^4
since this is an equality and bases are same i.e. 4
=> powers have to be equal
=> 2x + 10 = 4
=> 2x = 4 - 10
=> x = -6/2
=> x = -3

Answer 3

thanks youuuuu!!

Answer 4

u r welcome...☺

Answer 5

but how come you used postive 11
its suppose to be negative.

Answer 6

when u move it to the other side it becomes positive...

the reason is that the exact process is
4^2(x+5) - 11 = 245

adding 11 to both sides so that -11 is eliminated from the LHS
4^2(x+5) - 11 + 11 = 245 + 11
4^2(x+ 5) = 245 + 11

hope it is clear now....