Precalculus Examples

$\log (\frac{π}{n}) = 5$ , $\log (\frac{m}{n}) = 9$

Step 1

Simplify $\log (\frac{π}{\frac{m}{1000000000}})$ .

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Step 1.1

Multiply the numerator by the reciprocal of the denominator.

$\log (π (\frac{1000000000}{m})) = 5$

$n = \frac{m}{1000000000}$

Step 1.2

Combine $π$ and $\frac{1000000000}{m}$ .

$\log (\frac{π \cdot 1000000000}{m}) = 5$

$n = \frac{m}{1000000000}$

Step 1.3

Move $1000000000$ to the left of $π$ .

$\log (\frac{1000000000 π}{m}) = 5$

$n = \frac{m}{1000000000}$

$\log (\frac{1000000000 π}{m}) = 5$

$n = \frac{m}{1000000000}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

Step 3