Question

if 3^x=5^(x-2)
then find x​

Answer 1

Step-by-step explanation:

3^x=5^(x-2)

take log of both side

xlog3 = (x-2)log5

xlog3 = xlog5- 2log5

log5² = x (log 5 - log 3)

log5² = x log(5/3)

log5² / log(5/3) = x

x = log 25 / log(5/3)