Solve for t or y, as appropriate.
-$$\ln ( 9 - 4 y ) = x$$
A) $\frac { 9 - \mathrm { e } ^ { \mathrm { X } } } { 4 }$
B) $\frac { 9 - \ln x } { 4 }$
C) $e ^ { x } - 5$
D) $\frac { e ^ { x } - 9 } { 4 }$

Question

Quizplus · Accepted Answer

Starting with the given equation: $$\ln ( 9 - 4 y ) = x$$
We can use the property of logarithms that says:
$$\ln (a) = b \implies e^b = a$$
Using this property, we can write:
$$ 9 - 4y = e^{x}$$
Solving for y:
$$ -4y = - e^{x} + 9$$
$$ y = \frac{1}{4}(9 - e^{x})$$
Thus, the answer is 
A) $\frac{9 - e^x}{4}$

Solve for T or Y, as Appropriate ln⁡(9−4y)=x\ln ( 9 - 4 y ) = xln(9−4y)=x

Solve for T or Y, as Appropriate $\ln ( 9 - 4 y ) = x$