The solution to the equation [tex]\rm log_4 (5x + 9) = 3\\\\[/tex] is x = 11.
In mathematics, the logarithmic function is an inverse function to exponentiation.
The given equation is;
[tex]\rm log_4 (5x + 9) = 3\\\\[/tex]
The solution to the equation is determined in the following steps given below.
[tex]\rm log_4 (5x + 9) = 3\\\\ Taking \ exponetital \ on \ both \ sides\\\\5x+9 =4^3\\\\5x+9=64\\\\5x=64-9\\\\5x=55\\\\x=\dfrac{55}{5}\\\\x=11[/tex]
Hence, the solution to the equation [tex]\rm log_4 (5x + 9) = 3\\\\[/tex] is x = 11.
Learn more about logarithmic equations here;
https://brainly.com/question/1550602
#SPJ2
