Question

Find the value of n given that (81)^5÷n =243

Answer 1

HI.

QUESTION ➡ FIND THE VALUE OF n GIVEN THAT (81)^5/n = 243 ❓

SOLUTION

✏ GIVEN : (81)^5/n = 243

==> (81)^5/n = 3^5 .........{3^5 = 243}

AGAIN,

==> (3^4)^5/n = 3^5.........{3^4 = 81}

==> (3)^4 X 5/n = 3^5 .........{ (a^m)^n = a^mn}

==> (3)^20/n = 3^5

NOW,

WE HAVE THE BASE SAME,

THUS,

==> 3^20 = 3^5 n

==> 20 = 5n

==> 5n = 20

==> n = 4

THUS 4, IS THE REQUIRED VALUE OF n.