LEARN · EXPLAIN · REVISE

Simplify using the product rule.

Read the idea, work independently, then explain what changed.

TOPIC 01

Exponential and logarithmic functions: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Transfer#Your turn

\log_2512+\log_2 8

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Rewrite logarithms as exponent equations and check base and argument conditions.

Hint 2

Adding logarithms multiplies positive arguments.

Worked solution

Rewrite logarithms as exponent equations and check base and argument conditions.
Calculate or simplify this relation.
$\log_2(512\cdot8)=\log_24096=12$
It does not correspond to adding the arguments.

The requested value is 12.

Checks and common pitfalls: It does not correspond to adding the arguments.

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment