Finite Math Examples

$\log_{6} ({(2 x + 3)}^{7}) = 21$

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, $b = 6$ , $x = {(2 x + 3)}^{7}$ , and $y = 21$ .

$b = 6$

$x = {(2 x + 3)}^{7}$

$y = 21$

Step 2

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

$6^{21} = {(2 x + 3)}^{7}$