Finite Math Examples

$x \log (15600 \cdot 1.05) = x \log (19200 \cdot 1.03)$

Step 1

Divide both sides by $x$ to remove it from the front of the logarithm.

$\frac{x \log (15600 \cdot 1.05)}{x} = \frac{x \log (19200 \cdot 1.03)}{x}$

Step 2

Simplify each side of the equation.

$\log (15600 \cdot 1.05) = 4.29613845$

Step 3

For logarithmic equations, $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ such that $x > 0$ , $b > 0$ , and $b \neq 1$ . In this case, $b = 10$ , $x = 15600 \cdot 1.05$ , and $y = 4.29613845$ .

$b = 10$

$x = 15600 \cdot 1.05$

$y = 4.29613845$

Step 4

Substitute the values of $b$ , $x$ , and $y$ into the equation $b^{y} = x$ .

$10^{4.29613845} = 15600 \cdot 1.05$