Find the value of x, if 5^x-3.3^2x-8=225
Answers
Answered by
50
Please see ur answer in the attachment...
HOPE IT HELPS:-))
HOPE IT HELPS:-))
Attachments:
Answered by
58
5^(x-3).3^(2x-8) = 225
or, 5^(x-3).3^(2x-8) = 3*3*5*5
or, 5^(x-3).3^(2x-8) = 5^2 . 3^2
comparing both sides we get,
5^(x-3) = 5^2
or, x-3 = 2 [if a^m = a^n, then m = n]
or, x = 2 + 3
or, x = 5
3^(2x-8) = 3^2
or, 2x-8 = 2 [if a^m = a^n, then m = n]
or, 2x = 10
or, x = 5
so value of x is 5
or, 5^(x-3).3^(2x-8) = 3*3*5*5
or, 5^(x-3).3^(2x-8) = 5^2 . 3^2
comparing both sides we get,
5^(x-3) = 5^2
or, x-3 = 2 [if a^m = a^n, then m = n]
or, x = 2 + 3
or, x = 5
3^(2x-8) = 3^2
or, 2x-8 = 2 [if a^m = a^n, then m = n]
or, 2x = 10
or, x = 5
so value of x is 5
Similar questions