Use the One-to-One Property to solve the equation for x. $$\log _ { 6 } ( 8 x + 8 ) = \log _ { 6 } 4$$
A) $\frac { 3 } { 2 }$
B)-2
C) $- \frac { 1 } { 2 }$
D) $\frac { 1 } { 4 }$
E) $\frac { 2 } { 3 }$

Question

Use the One-to-One Property to solve the equation for x.​ $$\log _ { 6 } ( 8 x + 8 ) = \log _ { 6 } 4$$ ​
A) $\frac { 3 } { 2 }$
B)-2
C) $- \frac { 1 } { 2 }$
D) $\frac { 1 } { 4 }$
E) $\frac { 2 } { 3 }$

Quizplus · Accepted Answer

Applying the One-to-One Property, we can set the two exponent expressions equal to each other: 
3x - 5 = 7 
Adding 5 to both sides: 
3x = 12 
Dividing both sides by 3: 
x = 4 
Therefore, the solution is x = 4, which is only given in choice C.

Use the One-To-One Property to Solve the Equation for X log⁡6(8x+8)=log⁡64\log _ { 6 } ( 8 x + 8 ) = \log _ { 6 } 4log6​(8x+8)=log6​4

Use the One-To-One Property to Solve the Equation for X $\log _ { 6 } ( 8 x + 8 ) = \log _ { 6 } 4$