Solve for x: log3 x=5the 3 is a base

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The logarithm function is defined such that log(a) b = c

=> b = a^c

Here it is given that log3 x = 5

=> x = 3^5

=> x = 243

The required value of x = 243.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

First, we'll impose that the root of the equation must respect the constraint of existence of logarithm.

x>0

We'll solve the equation taking antilogarithm:

log3 x=5

x = 3^5

x = 243

Since the value of x is positive, then the root of the equation is x = 243.

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