If p = log2(x), what is the value of log2(2x^3) in terms of p? | MathCelebrity Forum

If p = log2(x), what is the value of log2(2x^3) in terms of p?

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If p = log2(x), what is the value of log2(2x^3) in terms of p?

A. 6p
B. 2p^3
C. 1 + 3p
D. 3 + 3p
E. 1 + p^3

log2(2x^3) = log2(2) + log2(x^3)

log2(2) = 1, so we have:
log2(2x^3) = 1 + 3log2(x)

Since we're given log2(x) = p, we have:
log2(2x^3) = 1 + 3p - Answer C

 
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