Question

Solve the equation and check for extraneous solutions2 log (x) = 6

Answer 1

ANSWER:

x = 1000

STEP-BY-STEP EXPLANATION:

We have the following equation:

$2\log_{10}(x)=6$

We solve for x, just like this:

$\begin{gathered} \operatorname{\log}_{10}(x)=\frac{6}{2} \\ \\ \operatorname{\log}_{10}(x)=3 \\ \\ x=10^3 \\ \\ x=1000 \\ \\ \text{ Check the solution:} \\ \\ 2\operatorname{\log}_{10}(1000)=6 \\ \\ 2\cdot3=6 \\ \\ 6=6\rightarrow\text{ true } \end{gathered}$

The value of x is equal to 1000