If \(\frac{{3}^{2x-8}}{225}\) = \(\frac{5^3}{5^x}\), then x =A. 2B

1.	If \(\frac{{3}^{2x-8}}{225}\) = \(\frac{5^3}{5^x}\), then x =A. 2B. 3C. 5D. 4
Answer» \(\frac{{3}^{2x-8}}{225}\)= \(\frac{5^3}{5^x}\) = 5^x × 3^2x – 8 = 5⁵ × 3³ Comparing the coefficient of x we get, = x = 5

If \(\frac{{3}^{2x-8}}{225}\) = \(\frac{5^3}{5^x}\), then x =A. 2B. 3C. 5D. 4

Answer»

\(\frac{{3}^{2x-8}}{225}\)= \(\frac{5^3}{5^x}\)

= 5^x × 3^2x – 8 = 5⁵ × 3³ Comparing the coefficient of x we get,

= x = 5