Question

log _{5}x+log _{25}x=6

Answer 1

Olá Caru!

$\\ \log_5 x + \log_{25} x = 6 \\\\ \log_5 x + \log_{5^2} x = 6 \\\\ \log_5 x + \frac{1}{2} \cdot \log_5 x = 6 \\\\ 2 \cdot \log_5 x + \log_5 x = 2 \cdot 6 \\\\ 3 \cdot \log_5 x = 12 \\\\ \log_5 x = 4 \\\\ 5^4 = x \\\\ \boxed{x = 625}$