Respuesta :
Answer:
x = 0
Step-by-step explanation:
note that 81 = [tex]3^{4}[/tex] , then
[tex]3^{x+4}[/tex] = [tex]3^{4}[/tex]
since the bases on both sides are equal, both 3 the equate the exponents
x + 4 = 4 ( subtract 4 from both sides )
x = 0
The answer to this equation is 0
Resolution:
- First step: we will transform the term after the equality into a power:
[tex] \\ 3 {}^{x + 4} = 81[/tex]
[tex]3 {}^{x + 4} = 3^{4}[/tex]
- Equal bases, let's equate the exponents:
[tex] \\ 3 {}^{x + 4} = 3^{4}[/tex]
[tex] x + 4 = 4[/tex]
- Finally, let's cancel the equal terms, thus having:
[tex] \\ x + 4 = 4[/tex]
[tex] x = 4 - 4[/tex]
[tex] \orange{\boxed{x = 0}}[/tex]
Therefore, the value of this equation will be 0
