Question

solve the equation for x. give an exact solution and a four - decimal - place
log x = 2.3
the exact answer is x =
(simplify your answer.)

Explanation:

Step1: Recall log - exponential relationship

If $\log x = 2.3$, and assuming base - 10 logarithm (common logarithm), by the definition of logarithms $y=\log_{a}x$ is equivalent to $x = a^{y}$. Here $a = 10$, $y=2.3$, so $x = 10^{2.3}$.

Step2: Calculate the four - decimal place value

Using a calculator, $10^{2.3}\approx199.5262$.

Answer:

The exact answer is $x = 10^{2.3}$
The four - decimal place answer is $x\approx199.5262$