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Exercise

$\ln\left(y+4\right)=5x+\ln\left(c\right)$

Step-by-step Solution

1

Take the variable outside of the logarithm

$e^{\ln\left(y+4\right)}=e^{\left(5x+\ln\left(c\right)\right)}$
2

Simplifying the logarithm

$y+4=e^{\left(5x+\ln\left(c\right)\right)}$
3

Simplify $e^{\left(5x+\ln\left(c\right)\right)}$ by applying the properties of exponents and logarithms

$y+4=ce^{5x}$
4

We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $4$ from both sides of the equation

$y=ce^{5x}-4$

Final answer to the exercise

$y=ce^{5x}-4$

Try other ways to solve this exercise

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