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

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asked Jan 8, 2023 36.3k views

3 votes

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

Mathematics
college

Daniyal Ahmed asked

by Daniyal Ahmed

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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

Chris Beach answered Jan 13, 2023

by Chris Beach

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