Question

Find x if 81x-²= 3×27²x-³

Answer 1

Answer:

x=27

Step-by-step explanation:

$81 {x}^{ - 2} =3 \times 27 \times 27 \times {x}^{ - 3}$

$81 {x}^{ - 2} = 81 \times (27 {x}^{ - 3} )$

comparing LHS and RHS

${x}^{ - 2} = 27 {x}^{ - 3}$

$1 = 27 \times {x}^{ - 1} = \frac{27}{x}$

$x = 27$