10 log(100 x)-3 = 117
Add 3 to both sides:
10 log(100 x)- 3 = 117 + 3
10 log(100 x) = 120
Divide both sides by 10:
log(100 x) = 12
Cancel logarithms by taking exp of both sides:
100 x = e^12
Divide both sides by 100:
x = e^12/100
Now test that this solution is appropriate by substitution into the original equation:
Check the solution x = e^12/100:
10 log(100 x)- 3 = -3 + 10 log((100 e^12)/100) = 117
So the solution is correct.
Thus, the solution is:
x = e^12/100
Solve the equation. Check for extraneous solutions.
10 ln 100x - 3 = 117
Thank you in advanced
1 answer
1 answer