How to solve this problem?: log_3 X=5

1 Answer
Mar 1, 2018

#x=243#

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Explanation:

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#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#

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That's it!