# Solve for the value of log_2 5.723 without using calculator

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`log_2 5.723` . To calculate this we can change the base to 10 and use the log tables thereafter.

`log_b x = (log_k x)/(log_k b)`

Therefore,

`log_2 5.723 = (log 5.723)/(log 2)`

`log_2 5.723 = 0.7576/0.3010`

`log_2 5.723 = 2.5169`

**The answer is 2.5169.**

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