Question

5^(2+log2по основанию 5)

Answer 1

$5^{2+log_52}=5^2*5^{log_52}=25*2=50$

Answer 2

We can simplify the expression using logarithmic properties. Recall that:

log base b (b^x) = x, and b^(log base b (x)) = x.

So we can rewrite 2+log base 5 (2) as log base 5 (5^2 * 2), since log base 5 (2) is just a constant. Therefore:

5^(2+log base 5 (2)) = 5^2 * 5^(log base 5 (2)) = 5^2 * 2 = 50

Therefore, 5^(2+log base 5 (2)) simplifies to 50.