Answer: First Option
[tex]x= -3.396[/tex]
Step-by-step explanation:
We have the following expression
[tex]log_{\frac{3}{4}}25 = 3x -1[/tex]
To solve the equation add 1 to both sides of the equality
[tex]log_{\frac{3}{4}}25 +1= 3x -1+1[/tex]
[tex]log_{\frac{3}{4}}25 +1= 3x[/tex]
Divide between 3 to both sides of the equation
[tex]\frac{log_{\frac{3}{4}}25 +1}{3}= x[/tex]
[tex]x= \frac{-11.19 +1}{3}[/tex]
[tex]x= -3.396[/tex]
The answer is the first option
