Given P(t) = 2^(0.5t+3) and log P(t) = log 8 + log 10√t, simplify the expression for log P(t).

Here's how to solve the problem:

Part (a):
The amount of data $P(t)$ is given by the rule $P(t) = 2^{0.5t+3}$.
The log entry found is $\log P(t) = \log 8 + \log 10\sqrt{t}$.

Step 1: Simplify the log entry expression for $P(t)$.
Using the logarithm property $\log A + \log B = \log (AB)$:

$$\log P(t) = \log (8 \cdot 10\sqrt{t})$$ $$$$