Question

Solve the equation (3^x/2) (3^x/4) = 3^6

x =

Answer 1

x = √48

Explanation:

`({3}^{ (x)/(2) } )( {3}^{ (x)/(4) }) = 3 {}^(6)`

`{3}^{ (x)/(2) *} {}^{ (x)/(4) } = 3 {}^(6)`

`3 {}^{ \frac{ {x}^(2) }{8} } = 3 {}^(6)`

`\frac{ {x}^(2) }{8} = 6`

`{x}^(2) = 6 * 8`

`{x}^(2) = 48`

`x = √(48)`

Answer 2

Answer :
x=18√2 or -18√2

Step by step :
9/8x^2 =729
Divide both sides by 9/8
x^2 = 648
Take square roots
x = ±√648
x = 18√2 or -18√2