Basic Math Examples

$\ln (y) = 2 t + 4$

Step 1

To solve for $y$ , rewrite the equation using properties of logarithms.

$e^{\ln (y)} = e^{2 t + 4}$

Step 2

Rewrite $\ln (y) = 2 t + 4$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$e^{2 t + 4} = y$

Step 3

Rewrite the equation as $y = e^{2 t + 4}$ .

$y = e^{2 t + 4}$