Question

Evaluate the logarithm at the given value of x without using a calculator.

Answer 1

9514 1404 393

Answer:

  g(x) = 1/2

Step-by-step explanation:

You want to evaluate ...

  $g(x)=\log_b(x)=\log_b(\sqrt{b})\\\\g(x)=\log_b(b^\frac{1}{2})=\dfrac{1}{2}\log_b(b)=\dfrac{1}{2}\cdot 1\\\\\boxed{g(x)=\dfrac{1}{2}}$