Precalculus Examples

$(7 - 3 x) \log (2) = \frac{1}{4}$

Step 1

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, $b = 10$ , $x = 2$ , and $y = \frac{1}{4}$ .

$b = 10$

$x = 2$

$y = \frac{1}{4}$

Step 2

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

$10^{\frac{1}{4}} = 2$