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 10^{m} = 10^{n}.

Log x = -18

10^{logx} = 10^{-18}

Finally, apply the inverse property 10^{log x} = x.

10^{logx } = 10^{-18}

x = 10^{-18}

Thus, the solution is x = 10^{-18}.