Basic Conversion 2 📟🔬

$\begin{aligned} 25^{27}-25^{25}=5^{52}\times x \\ & = 25^{25}(25^2-1)=5^{52}\times x \\ &=5^{50}\times 624= 5^{52}\times x \\ & = 5^{52}\times \frac{624}{25}=5^{52}\times x \\ & \implies x=\frac{624}{25}=\boxed{24.96}\end{aligned}$

$\huge{25^{27}-25^{25}=5^{52}x}$

$\huge{5^{2(27)}-5^{2(25)}=5^{52}x}$

$\huge{5^{54}-5^{50}=5^{52}x}$

$\huge{5^{50}(5^4-1)=5^{52}x}$

$\huge{5^4-1=5^2x}$

$\huge{x=\dfrac{5^4-1}{5^2}=\boxed{24.69}}$