Question

Please help me solve this

Answer 1

x = 24

Explanation:

using the rule of exponents

`a^(m)` ×
`a^(n)` =
`a^((m +n))`

consider left side

`5^{(x)/(6) }` ×
`5^{(x)/(2) }`

=
`5^{(x)/(6) }` ×
`5^{(3x)/(6) }`

=
`5^{(4x)/(6) }`

then

`5^{(4x)/(6) }` =
`5^(16)`

since the bases on both sides are equal, both 5 then equate exponents

`(4x)/(6)` = 16 ( multiply both sides by 6 )

4x = 96 ( divide both sides by 4 )

x = 24