Uploaded August 2026 | Updated September 2026, 3 weeks ago

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Can you solve this advanced Algebra question based on logarithms?

In this Visual Maths Lab question, we first convert all logarithms to the same base, combine them using log properties, transform the equation into a quadratic, and then use Vieta’s formula to find the sum of the roots without solving the quadratic completely.

This is a great question to understand how multiple concepts can connect in one problem:

𝗖𝗼𝗻𝗰𝗲𝗽𝘁𝘀 𝗖𝗼𝘃𝗲𝗿𝗲𝗱:
Logarithm properties
Change of base
Power rule
Algebraic substitution
Quadratic equations
Vieta’s formula

𝗞𝗲𝘆 𝗜𝗱𝗲𝗮:
Same base → Combine logs → Substitute → Quadratic → Vieta

Watch till the end and try the homework question yourself.

Visual Maths Lab 017

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