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

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

User Daniyal Ahmed
by
8.6k points

1 Answer

4 votes

ANSWER:

x = 1000

Explanation:

We have the following equation:


2\log_(10)(x)=6

We solve for x, just like this:


\begin{gathered} \operatorname{\log}_(10)(x)=(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

User Chris Beach
by
8.9k points
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