How to solve this problem?: log_3 X=5

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Answer 1 · 2018-03-01T08:37:10

$x=243$

$log_3(x)=5$

Apply the logarithm base change rule, stated as:

$\text{If}\ \ \ \ log_b(x)=y\ \ \ \ \text{then}\ \ \ \ \ \ \ b^y=x$

By applying here, we get:

$3^5\ =\ x$

$x=3\times3\times3\times3\times3$

$x=243$

That's it!