Exercise ID327

Algebra → Logarithm → Logarithm equations
[Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 17] [Number of characters: 0]

Evaluate the following expression:

22log104x-1-7log104x=7log104x-1-3×4log104x

F: 4x>0  x>0 t=log104x 22t-1-7t=7t-1-3×4t 22t×2-1-7t=7t×7-1-3×4t 4t×12-7t=7t×17-3×4t 4t2-7t=7t7-3×4t /÷4t 12-7t4t=7t7×4t-3 12-74t=17×74t-3 -74t-17×74t=-3-12 -87×74t=-72/ ×-78 74t=4916 74t=742 t=2 log104x=tlog104x=2 log104x=log10102 4x=100 x=25
x=25
Start the solution
Restart the solution
Final solution
Hide the final solution
Entire solution!
Hide the entire solution!
Theory
Hide theory