c1ed2581-a-single-log-and-evaluate-where-possible-log2x38-12log2x-assuming-x0-sh

Question

Simplify fully to a single logarithm: log⁡2(8x3)−12log⁡2(x)\$$log_2(8$$\sqrt{$$x^3$$})-\frac12\$$log_2(x$$), assuming 0"\u003ex\u003e0x\u003e0.

Accepted Answer

log⁡2(8x)\$$log_2(8x)$$

Answer

log⁡2(x)+3\$$log_2(x) + 3$$

Answer

log⁡2(8x32x)\$$log_2$$\left(\frac{$$8x^{\frac32}$$}{\sqrt{x}}\right)

Answer

log⁡2(4x)\$$log_2(4x)$$

Simplify fully to a single logarithm: log2(8x3)−12log2(x)\(\log\)_2(8\(\sqrt{x^3}\))-\(\frac\)12\(\log\)_2(x), assuming x>0x>0.