Respuesta :
Answer:
Answer: D
Step-by-step explanation:
[tex]{ \sf{ log_{4}( \frac{1}{4} x {}^{2} ) }} \\ \\ = { \sf{ log_{4} \{{(4}^{ - 1} ).( {x}^{2}) \} }} \\ \\ = { \sf{ log_{4}( {4}^{ - 1} ) + log_{4}( {x}^{2} ) }} \\ \\ = { \sf{ - log_{4}(4) + 2 log_{4}(x) }} \\ \\ = { \sf{ - 1 + 2 log_{4}(x) }}[/tex]
D. -1+2㏒4x
What is logarithm?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a fixed number, base b, must be raised in order to create a specific number x, is represented by the logarithm of that number.
Given
log₄(1/4 x²)
log₄(1/4) . log₄(x²)
log₄(4⁻¹) + log₄(x²)
-1 log₄ 4 + 2log₄x
-1 + 2log₄x
To learn more about logarithm refer to:
https://brainly.com/question/2411204
#SPJ2
