Finite Math Examples

$\log (x) = 3.0987$

Step 1

Subtract $3.0987$ from both sides of the equation.

$\log (x) - 3.0987 = 0$

Step 2

Add $3.0987$ to both sides of the equation.

$\log (x) = 3.0987$

Step 3

Rewrite $\log (x) = 3.0987$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$10^{3.0987} = x$

Step 4

Solve for $x$ .

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Step 4.1

Rewrite the equation as $x = 10^{3.0987}$ .

$x = 10^{3.0987}$

Step 4.2

Raise $10$ to the power of $3.0987$ .

$x = 1255.16262853$