Rhetorical Appeals

Logos: Problem-​Solution Framework

Structure arguments by clearly defining problems and presenting logical solutions.

Last updated

What & why

What it is
A logical structure that first establishes a specific problem using data and evidence, then presents a solution whose mechanism is shown to address that problem directly. The problem and the fix are linked by explicit reasoning, so the audience sees not just that the solution helps but why. Done well, it frames the issue precisely enough that the proposed action looks proportionate, necessary, and clearly tied to a measurable result.
Why it works

Naming the problem first creates an open loop: once people feel a concrete gap or cost, they want it closed, and that tension keeps attention focused on what comes next. Anchoring the problem in data makes it feel real rather than rhetorical, so the solution arrives as relief instead of a sales pitch. The paired cause-and-effect structure is easy to follow and remember, and a clearly framed problem makes a proportionate fix look obvious, which lowers the sense of risk in saying yes.

Before & after

Before

“Here's an idea that might help with stuff.”

After

“Problem: 40% cart abandonment costs us $2M annually. Solution: One-click checkout reduces abandonment to 15% based on Amazon's data.”

When you’ll use it

Business case presentations requiring stakeholder buy-in and resource approval

Consulting recommendations that must demonstrate ROI and measurable impact

Technical troubleshooting explanations that connect symptoms to root causes

Strategic initiatives requiring logical justification for significant organizational change

Pro tip

Quantify the problem clearly before presenting your logical solution. When to use this: Use when you need to build logical credibility by showing systematic problem-solving thinking, especially with analytical or data-driven audiences.

Questions & answers

What is problem-solution framework in logical appeals?

Problem-solution framework uses logical structure to first establish a clear problem, then present a logical solution that directly addresses the identified issues. It creates compelling argument by showing clear causal relationship between problem and proposed solution.

How do I create strong problem-solution arguments?

Define problems specifically and quantifiably, show why problems matter to audience, demonstrate solution feasibility, explain how solution addresses root causes, provide evidence of solution effectiveness, and address potential implementation challenges.

What makes problem-solution presentations compelling?

Compelling problem-solution presentations create urgency around real problems, offer practical and achievable solutions, demonstrate clear connections between problem and solution, provide evidence of success, and show implementation pathways.

Learn more

Stanford Encyclopedia of Philosophy - Aristotle's Rhetoric
Aristotle, Rhetoric, Book I (MIT Internet Classics Archive)
Stand Up, Speak Out - Organizing Persuasive Speeches (LibreTexts)

Practice this concept

Practice persuasive speaking

Apply rhetorical appeals in your own speech and get AI feedback on credibility, emotional resonance, and logic.

Try the AI Speech Coach