# What is x in log_3x = 0?

Oct 28, 2015

$x = 1$

#### Explanation:

Log to base 3 of x = 0

Base three mean 3 raised to a power equals something. The output of that ${\log}_{3} \left(x\right)$ the index of 3 to give $x$

In other words:

${3}^{0} = x$

Anything raised to the power of 0 is 1

So

${3}^{0} = x = 1$

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