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Which of the following is equivalent to
(log(t))/(log_(8)(t)) ?
Choose 1 answer:
(A)
log(8)
(B)
log_(8)(t^(2))
(C)
(1)/(log(8))
(D)
(1)/(log_(8)(t^(2)))

Which of the following is equivalent to $\frac{\log (t)}{\log _{8}(t)}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\log (8)$ $\newline$ (B) $\log _{8}\left(t^{2}\right)$ $\newline$ (C) $\frac{1}{\log (8)}$ $\newline$ (D) $\frac{1}{\log _{8}\left(t^{2}\right)}$

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Product property of logarithms

Full solution

Q. Which of the following is equivalent to

\frac{\log (t)}{\log _{8}(t)}

?

\newline

Choose

1

answer:

\newline

(A)

\log (8)

\newline

(B)

\log _{8}\left(t^{2}\right)

\newline

(C)

\frac{1}{\log (8)}

\newline

(D)

\frac{1}{\log _{8}\left(t^{2}\right)}

Multiply by $\log(8)$ : Simplify the expression by multiplying both numerator and denominator by $\log(8)$ . $\frac{\log(t) \cdot \log(8)}{\frac{\log(t)}{\log(8)} \cdot \log(8)}$
Cancel out $\log(t)$ : Cancel out $\log(t)$ in the numerator and denominator. $\log(8)$

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