Finite Math Examples

$\log_{x} (\sqrt{\frac{5}{5}}) = \frac{1}{2}$

Step 1

Subtract $\frac{1}{2}$ from both sides of the equation.

$\log_{x} (\sqrt{\frac{5}{5}}) - \frac{1}{2} = 0$

Step 2

Simplify $\log_{x} (\sqrt{\frac{5}{5}}) - \frac{1}{2}$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Divide $5$ by $5$ .

$\log_{x} (\sqrt{1}) - \frac{1}{2} = 0$

Step 2.1.2

Any root of $1$ is $1$ .

$\log_{x} (1) - \frac{1}{2} = 0$

Step 2.1.3

Logarithm base $x$ of $1$ is $0$ .

$0 - \frac{1}{2} = 0$

Step 2.2

Subtract $\frac{1}{2}$ from $0$ .

$- \frac{1}{2} = 0$

Step 3

Set the numerator equal to zero.

$1 = 0$

Step 4

Since $1 \neq 0$ , there are no solutions.

No solution