Hanjesi97idn
Answered

IDNLearn.com provides a reliable platform for finding accurate and timely answers. Our community provides timely and precise responses to help you understand and solve any issue you face.

3^x+3^x =54 what's the value of x ?​

Sagot :

Reissbassi68idn

Answer:

x = 3

Step-by-step explanation:

if you need an explanation let me know

Itz5151idn

Answer:

x = 3

Step-by-step explanation:

Given:

[tex] \implies \rm 3 {}^{x} + {3}^{x} = 54[/tex]

To Find:

  • Value of x

Solution:

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

  • [We factored here]

[tex] \implies \: 2(3 {}^{x} ) = 54[/tex]

Divide both sides by 2

[tex] \implies \cfrac{2(3 {}^{x}) }{2} = \cfrac{54}{2} [/tex]

[tex] \implies \: 3 {}^{x} = 27[/tex]

Take logarithm on both sides

[tex] \implies \: \log(3 {}^{x} ) = \log(27)[/tex]

[tex] \implies \: x \times \log(3) = \rm \: log \: (27)[/tex]

[tex] \implies \: x = \cfrac{ \log(27)}{ \log \:(3)} [/tex]

[tex] \implies \boxed{x = 3}[/tex]

Hence, x = 3 .

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.