Finite Math Examples

$t = \frac{5 \log (0.5)}{\log (0.1)}$

Step 1

Simplify $5 \log (0.5)$ by moving $5$ inside the logarithm.

$t = \frac{\log ({0.5}^{5})}{\log (0.1)}$

Step 2

Log base $10$ of $0.1$ is approximately $- 1$ .

$t = \frac{\log ({0.5}^{5})}{- 1}$

Step 3

Simplify the numerator.

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Step 3.1

Raise $0.5$ to the power of $5$ .

$t = \frac{\log (0.03125)}{- 1}$

Step 3.2

Log base $10$ of $0.03125$ is approximately $- 1.50514997$ .

$t = \frac{- 1.50514997}{- 1}$

Step 4

Divide $- 1.50514997$ by $- 1$ .

$t = 1.50514997$