Respuesta :
Answer:
No solution.
Step-by-step explanation:
We are given that [tex](64)^{3x} = (512)^{(2x + 12)}[/tex] and we have to solve this equation for x.
Now, 64 = [tex]2^{6}[/tex] and 512 = [tex]2^{9}[/tex]
Therefore, [tex](2^{6} )^{3x} = (2^{9} )^{(2x + 12)}[/tex] {Since [tex](x^{a} )^{b} = x^{ab}[/tex]}
⇒ [tex]2^{6 \times 3x} = 2^{9 \times (2x + 12)}[/tex]
⇒ [tex]2^{18x} = 2^{18x + 108}[/tex]
Comparing the power of the same base, we get
18x = 18x + 108
Now, since 18x cancels from both the sides so, x has no solution. (Answer)
Answer:
it's D on edg
Step-by-step explanation:
I just took the test
