Question

Solve the equation log x = 1.5 by transforming it into an exponential form or by graphing it. Round your answer to the nearest thousandth if necessary. a) x = 31.623

b) x = 3.162
c) x = 316.228
d) x = 3162.278

Answer 1

The solution to the equation log x = 1.5, when converted to exponential form and calculated, is approximately 31.623. Option number a is correct.

Step-by-step explanation:

To solve the equation log x = 1.5, we can convert it into its exponential form. The base of the common logarithm is 10, so the equation can be rewritten as 101.5 = x. By calculating 101.5, we can find the value of x.

Using a calculator to find 101.5 yields a result of x ≈ 31.623. Therefore, the solution to the equation log x = 1.5, rounded to the nearest thousandth, is approximately 31.623, which corresponds to option a).