Question

solve 3 power x = 5 power x-2​

Answer 1

Answer:

Given that

3x=5x-2

3x-5x= -2

-2x = -2

X= -2/-2

X= 1

Hope it helps you

Answer 2

$x\: log_{10}(3) = (x - 2) log_{10}(5) \\ x log_{10}(3) = x log_{10}(5 ) - 2 log_{10}(5) \\ x log_{10}(5) - 2 log_{10}(5) = xlog_{10}(3) \\ x log_{10}(5) - x log_{10}(3) = 2 log_{10}(5) \\ x( log_{10}(5) - log_{10}(3) )= 2 log_{10}(5) \\ \red\therefore \: \red x = \frac\red{2 log_{10}(5) }\red{ log_{10}(5) - log_{10}(3) }$