Which of the following expressions is equivalent to the logarithmic
expression below?
log4 (7/x^3)
A. 3 log4 7 - log4 x
O B. log4 7-3 log4 x
C. lo94 7 + 3 log4 X
D. 3 log4 7 + log4 X

Respuesta :

Answer:

O B. log4 7-3 log4 x

[tex] log_{4}( \frac{7}{ {x}^{3} } ) \\ = log_{4}7 - log_{4}{x}^{3} \\ = log_{4}7 - 3 log_{4}x[/tex]

The expression  equivalent to the logarithmic expression

log 4 (7/x^3) will be B. log4 7-3 log4 x

What is log ?

A logarithm is the power to which a number must be raised in order to get some other number

log 4 ([tex]\frac{7}{x^3}[/tex])

log 4.7 - log 4x^3  (log (a/b) = log a - log b

log 4.7 - 3 log 4x

correct answer is  B. log4 7-3 log4 x

learn more about log

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