Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

log6(5x - 5) = log6(3x + 7)
A. {1}
B. {6}
C. Ø

Question

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 

log6(5x - 5) = log6(3x + 7)
  A. {1} 	
  B. {6} 	
  C. Ø

anonymous · Answer

@AnswerMyQuestions

anonymous · Answer

Not sure. :/

mathstudent55 · Answer

Since both sides are log base 6, the expressions must be equal.

If $\ \large log_b x = \log_b y$ then $\large x = y$.

anonymous · Answer

Can you help me step by step @mathstudent55

mathstudent55 · Answer

Just set 5x - 5 equal to 3x + 7 and solve the equation.

anonymous · Answer

Could you show me how to put it in the calculator

mathstudent55 · Answer

I don't know, but this can be solved easily.

5x - 5 = 3x + 7

Subtract 3x from both sides

2x - 5 = 7

Add 5 to both sides

2x = 12

Divide both sides by 2

x = 6

Now check 6 in the original equation to make sure 6 is an allowed value for x.

anonymous · Answer

Thank you @mathstudent55