Question

3^x+3^x =54 what's the value of x ?​

Answer 1

Answer:

x = 3

Step-by-step 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

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

$\implies \: x \times \log(3) = \rm \: log \: (27)$

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

$\implies \boxed{x = 3}$

Hence, x = 3 .

Answer 2

Answer:

x = 3

Step-by-step explanation:

if you need an explanation let me know