Calculus Examples

$\log_{49} (\frac{1}{7}) = y$

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, $b = 49$ , $x = \frac{1}{7}$ , and $y = y$ .

$b = 49$

$x = \frac{1}{7}$

$y = y$

Step 2

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

$49^{y} = \frac{1}{7}$