Problem 2017

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.

 

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