Finite Math Examples

$y = 8 \log (x)$

Step 1

Rewrite the equation as $8 \log (x) = y$ .

$8 \log (x) = y$

Step 2

Divide each term in $8 \log (x) = y$ by $8$ and simplify.

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Step 2.1

Divide each term in $8 \log (x) = y$ by $8$ .

$\frac{8 \log (x)}{8} = \frac{y}{8}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{8 \log (x)}{8} = \frac{y}{8}$

Step 2.2.1.2

Divide $\log (x)$ by $1$ .

$\log (x) = \frac{y}{8}$

Step 3

Rewrite $\log (x) = \frac{y}{8}$ 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 $b^{y} = x$ .

$10^{\frac{y}{8}} = x$

Step 4

Rewrite the equation as $x = 10^{\frac{y}{8}}$ .

$x = 10^{\frac{y}{8}}$