Solve the equation and find the exact solution: log⁡base2(log⁡base3(log⁡base4(x)))=0

Wribreeminsl

Wribreeminsl

Answered

2021-01-15

Solve the equation and find the exact solution:
logbase2(logbase3(logbase4(x)))=0

Answer & Explanation

dessinemoie

dessinemoie

Expert

2021-01-16Added 90 answers

Start with x=43=64,
log[4](64)=3,
log[3](3)=1,
log[2](1)=0,
so x=64 is a solution.
Another way: log[2](z)=0,
so z=1, log[3](y)=1,
so y=3, log[4](x)=3,
so x=43=64.

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