Question

3^x+3^x =54 what's the value of x ?​

Answer 1

x = 3

Explanation:

if you need an explanation let me know

Answer 2

x = 3

Explanation:

Given:

`\implies \rm 3 {}^(x) + {3}^(x) = 54`

To Find:

• Value of x

Solution:

We could re-write 3^x+3^x as:

• [We factored here]

`\implies \: 2(3 {}^(x) ) = 54`

Divide both sides by 2

`\implies \cfrac{2(3 {}^(x)) }{2} = \cfrac{54}{2}`

`\implies \: 3 {}^(x) = 27`

Take logarithm on both sides

`\implies \: \log(3 {}^(x) ) = \log(27)`

`\implies \: x * \log(3) = \rm \: log \: (27)`

`\implies \: x = \cfrac{ \log(27)}{ \log \:(3)}`

`\implies \boxed{x = 3}`

Hence, x = 3 .