Respuesta :

CastleRook
according to the laws of logarithm:
if log ₐ c =b
then:
aᵇ=c
hence, to solve the question we let:
log₆1296=a
thus to solve the above we re-write as follows:
6ᵃ=1296
the answer is option D

Answer:

[tex]6^a = 1296[/tex]

Step-by-step explanation:

Using the logarithmic properties:

[tex]\log_b x = a[/tex]

⇒[tex]x = b^a[/tex]

Given the equation:

[tex]\log_6 1296 = a[/tex]

Apply the logarithmic properties we have;

[tex]1296 = 6^a[/tex]

or

[tex]6^a = 1296[/tex]

Therefore, [tex]6^a = 1296[/tex]  equation can you use to evaluate [tex]\log_6 1296 = a[/tex]

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