The discussion focuses on solving the logarithmic equation log base 5 of the cube root of 25. The correct answer is established as 2/3, confirmed by the textbook. The solution involves rewriting 25 as 5 squared, leading to the expression (5^2)^(1/3), which simplifies to 5^(2/3). This demonstrates the application of exponent rules in logarithmic calculations.
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gabby989062 said:Homework Statement
log base 5 cube root 25 equals what?
Homework Equations
I know that the answer is 2/3 because it is in the back of the book
The Attempt at a Solution
log base 5 = 25 to the 1/3
so 5 to the what = 25 to the 1/3
How do I get 5 to the 2/3 equals 25 to the 1/3? This is the only tough question in this section.