# Which inequality represents the following scenario if b is the number of pages in Carmen's book report? Carmen's book report needs to be

###### Question:

## Answers

nlgqer

step-by-step

[tex]x \times 6 = 108[/tex]

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,

b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,

and solve for the variable

* lets solve the problem

∵ [tex]7^{x}=77[/tex]

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴ [tex]ln(7^{x})=ln(77)[/tex]

- use the rule [tex]ln(a^{n})= nln(a)[/tex]

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴ [tex]x=\frac{ln(77)}{ln(7)}=2.23[/tex]

* the solution of the equation is 2.23 to the nearest 2 decimal places

hello umm i don't understand your question can you explain it more pls

step-by-step explanation: