Question

Use log to solve for x: 38^2x=109

Answer 1

38^2x = 109
Apply lg on both sides
lg 38^2x = lg 109
Bring the power down
2x lg 38 = lg 109
2x = lg 109/lg 38
x = (lg 109/lg 38) ÷ 2
= 0.645

Hope it helped!