Respuesta :
The value x at which the equation 3 Superscript 4 x Baseline = 27 Superscript x minus 3 satisfy is, -9.
What is an unknown variable?
Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
The equation for the unknown variable x is given as,
[tex]3^{4x}=27^{x-3}[/tex]
The number 27 can be written as 3³. Thus,
[tex]3^{4x}=3^{3(x-3)}[/tex]
When, the base of both side of the equation is same, then the exponent can be compared directly. Thus,
[tex]4x=3(x-3)[/tex]
Solve it further,
[tex]4x=3(x-3)\\4x=3x-9\\4x-3x=-9\\x=-9[/tex]
Thus, the value x at which the equation 3 Superscript 4 x Baseline = 27 Superscript x minus 3 satisfy is, -9.
Learn more about the unknown variable here;
https://brainly.com/question/1235185
