Question

find the value of x
$(81) \frac{5}{x} = 243$

Answer 1

Hey

Here is your answer,

(81) 5/x = 243
5/x = 243/81
5/x = 3
X = 5/3

Hope it helps you!

Answer 2

$(81) \frac{5}{x} = 243 \\ \\ = > \frac{5}{x} = \frac{243}{81} \\ \\ = > \frac{5}{x} = 3 \\ \\ = > x = \frac{5}{3}$

Verification :

$LHS= (81) \frac{5}{x} \\ \\ \: \: \: \: \: \: \: \: \: \: \: = (81) \times 5 \div \frac{5}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: = (81) \times 5 \times \frac{3}{5} \\ \\ \: \: \: \: \: \: \: \: \: \: = 81 \times 3 = 243 = RHS$

Hence, LHS = RHS (verified)