Basic Math Examples

$- 20 = - 5 \log (d)$

Step 1

Rewrite the equation as $- 5 \log (d) = - 20$ .

$- 5 \log (d) = - 20$

Step 2

Divide each term in $- 5 \log (d) = - 20$ by $- 5$ and simplify.

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Step 2.1

Divide each term in $- 5 \log (d) = - 20$ by $- 5$ .

$\frac{- 5 \log (d)}{- 5} = \frac{- 20}{- 5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 \log (d)}{- 5} = \frac{- 20}{- 5}$

Step 2.2.1.2

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

$\log (d) = \frac{- 20}{- 5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 20$ by $- 5$ .

$\log (d) = 4$

Step 3

Rewrite $\log (d) = 4$ 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 $b^{y} = x$ .

$10^{4} = d$

Step 4

Solve for $d$ .

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Step 4.1

Rewrite the equation as $d = 10^{4}$ .

$d = 10^{4}$

Step 4.2

Raise $10$ to the power of $4$ .

$d = 10000$