Respuesta :

[tex]x = \frac{7}{9} [/tex]

Step-by-step explanation:

[tex]9x = 7 \\ \frac{9x}{9} = \frac{7}{9} \\ x = \frac{7}{9} [/tex]

Answer:

[tex]x=0.885622[/tex]

Step-by-step explanation:

Given that an exponential equation in x as

[tex]9^x + 4 = 11[/tex]

We have to solve for x using change of base formula for log

Subtract 4 from both the sides

[tex]9^x =7[/tex]

Take log to base 9

[tex]x=log_9 7[/tex]

Using change of base to 10 we have

[tex]x=\frac{log 7}{log 9}[/tex] taking same to base 10 by using change of base formula

[tex]x=0.885622[/tex]