Solve for X logX=4

Jaya Legge 2020-11-02 Answered
Solve for X logX=4
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Jaylen Fountain
Answered 2020-11-03 Author has 170 answers

X logX=4 or logXX=4andXX=b4, where b is the base of the log. So X=4 if b=4.
When b=10, XX=10000.
Substitute X=5 and we get 55=3125, put X=6 and we get 66=46656. The solution is between 5 and 6.
The log of a number is much smaller than the number itself. Write X=4logX.
Substitute X=5, so log5=0.6990 and the next estimate of X=40.6990=5.722.
log5.722=0.7575 and the next estimate is X=40.7575=5.281.
If we continue with these iterations we arrive at X=5.4385826959. This takes only a minute or two on a calculator.

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