Question

Tisk the value of x if 6/5x 5/6²x = 125/216​

Answer 1

Answer:

The value of x is 3 in \bold{\left(\frac{6}{5}\right)^{x} \times\left(\frac{5}{6}\right)^{2 x}=\frac{125}{216}}(

5

6

)

x

×(

6

5

)

2x

=

216

125

Answer 2

Answer:

$6 \div 5x \times 5 \div 6 {}^{2}x = 125 \div 216 \\ 1 \div 6x {}^{2} = 125 \div 216 \\ 1 \div x {}^{2} = 125 \div 36 \\ 1 \div x = 5 \sqrt{5 } \div 6 \\ x = 6 \div 5 \sqrt$