Answered

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Solve the following logarithmic equation.log(5-x)=0.5

Sagot :

To solve this equation remember how to solve for x in logarithmic equations. For example:

[tex]\begin{gathered} \log x=a \\ 10^{\log x}=10^a \\ x=10^a \end{gathered}[/tex]

Do the same procedure for the given equation.

[tex]\begin{gathered} \log (5-x)=0.5 \\ 10^{log(5-x)}=10^{0.5} \\ 5-x=\sqrt[]{10} \\ -x=\sqrt[]{10}^{}-5 \\ x=5-\sqrt[]{10}^{} \end{gathered}[/tex]

x has a value of 5-sqrt(10).

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