Solve the logarithmic equation.
210 + 10 log x = 30
Solution
201 + 10 log x = 30
10 log x = -180 (Subtract 210 from each side)
log x = -18 (Divide each side by 10).
Next , exponentiate each side of the equation. Since the equation is in terms of the common logarithm, use base 10. The rule of exponentiation states that if m = n, then .
log x = -18
Finally, apply the inverse property
X =
Thus, the solution is x =