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

May 22, 2026Mathematics

ScanSolve AI Answer

May 22, 2026

Answer

2^{0.5t+3}$.

Welcome back devinemercy — missed you this week.

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 $\log A + \log B = \log (AB)$ : $\log P(t) = \log (8 \cdot 10\sqrt{t})$

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Welcome back devinemercy — missed you this week. 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.

Asked on May 22, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 22, 2026

Welcome back devinemercy — missed you this week. 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 P(t) = 8 + 10sqrt(t). Step 1: Simplify the log entry expression for P(t). Using the logarithm property A + B = (AB): P(t) = (8 · 10sqrt(t)) P(t) = (80\