Nice logarithm Equation | Fastest Way to Solve This Radical Log Equation: log_√2(∛x) + log_√3(x) = 6
InfiniteIntegers и Inmathsexplorer
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Nice logarithm Equation | Fastest Way to Solve This Radical Log Equation: log_√2(∛x) + log_√3(x) = 6
478 просмотров · 7 дней назад
InfiniteIntegers и Inmathsexplorer
478 просмотров · 7 дней назад
This logarithm problem looks simple, but the square-root bases and cube-root argument hide the key idea. Can you find x without getting trapped by the radicals?
In this video, we solve:
log_√2(∛x) + log_√3(x) = 6
The key is recognizing how radicals affect logarithms and then simplifying the equation using logarithmic identities and change of base.
Before watching the solution, pause the video and try to find x yourself.
You will see how:
Square-root logarithm bases are simplified
Cube roots become fractional exponents
Change of base exposes the hidden structure
The resulting equation can be solved exactly
The final answer is verified in the original equation
This is a great challenge for anyone practicing logarithmic equations, logarithms, algebra, change of base, and advanced mathematics.
Can you solve it before the first transformation?
Comment your answer and, more importantly, tell us which method you used.
If you enjoy deceptively simple mathematics problems, like the video and subscribe for more challenging logarithm and algebra problems.
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