Solve for x. `2^(x-1) = 31` Enter answer correct to four decimals.  

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`2^(x-1) = 31`

To solve, first remove the x in the exponent. To do so, take the logarithm of both sides.

`ln 2^(x-1)=ln31`

At the left side, apply the rule `ln a^m = mlna` .


Then, divide both sides by ln2.



And, add both sides by 1.



Hence, the solution to the equation is `x=5.9542` .

Approved by eNotes Editorial Team

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