Finite Math Examples

$3.4 = \log (x)$

Step 1

Rewrite the equation as $\log (x) = 3.4$ .

$\log (x) = 3.4$

Step 2

Rewrite $\log (x) = 3.4$ 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 $b^{y} = x$ .

$10^{3.4} = x$

Step 3

Solve for $x$ .

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Step 3.1

Rewrite the equation as $x = 10^{3.4}$ .

$x = 10^{3.4}$

Step 3.2

Raise $10$ to the power of $3.4$ .

$x = 2511.8864315$