Question$\log _{2}(16 \sqrt{8})$

Studdy Solution
Use the property of logarithms:
$$\log_{2}(2^{11/2})$$
Apply the power rule for logarithms:
$$\frac{11}{2} \log_{2}(2)$$
Since $\log_{2}(2) = 1$, the expression simplifies to:
$$\frac{11}{2} \times 1 = \frac{11}{2}$$
The equivalent value of the logarithmic expression is:
$$\boxed{\frac{11}{2}}$$