Solve the logarithmic equation.
210 + 10 log x = 30
Solution:-
210 + 10 log x = 30
10 log x = -180
log x = -18
Next exponential each side of the equation. Since the equation is in terms of the common logarithm, use base 10. The rule exponentiation states that if m = n, then 10m = 10n.
Log x = -18
10logx = 10-18
Finally, apply the inverse property 10log x = x.
10logx = 10-18
x = 10-18
Thus, the solution is x = 10-18.