Question

Solve the following logarithmic equation.log(14-x)=0.5

Answer 1

we are given the following equation:

`\log \mleft(14-x\mright)=0.5​`

To solve this equation we will use the following property of logarithms:

`\log _ab=c\rightarrow b=a^c`

Applying the property:

`14-x=10^(0.5)`

subtracting 14 to both sides:

`\begin{gathered} 14-14-x=10^(0.5)-14 \\ -x=10^(0.5)-14 \end{gathered}`

Multiplying by -1:

`x=14-10^(0.5)`

Solving the operations:

`x=10.4`