solve the equation 051x172x1Solution051x 05 05x 172x1 172

solve the equation 0.5^1-x=1.7^2x+1

0.5^1-x = 0.5 / (0.5^x)

1.7^2x+1 = 1.7^(2x) * 1.7

when we are equationg the above 2 equations we get

0.5 / 1.7 = (0.5*1.7^2 )^x

5/17 = (2.89*0.5)^x

0.2941 = 1.445^x

applying log on both sides we get

x = log(0.2941) / log(1.445) = -3.3246