QuestionSolve for $x$ in the equation $5.3^{x}-4.8^{x}=121$ . Select the correct choice and fill in the answer.
A. The solution is the interval $[\square, \square]$ . B. The solution(s) is/are $x=\square, \square$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $5.3^{x}-4.8^{x}=121$ . We are solving this equation graphically3. The solution will be in the form of an interval or a set of values for $x$
4. The solution for $x$ should be rounded to the nearest tenth

STEP 2

First, we need to rewrite the equation in the form $f(x) = g(x)$ , where $f(x)$ and $g(x)$ are two functions that we will graph. In this case, we can set $f(x) =5.^{x}$ and $g(x) =4.8^{x} +121$ .
$f(x) =5.^{x}$ $g(x) =4.8^{x} +121$

STEP 3

Next, we graph the two functions $f(x)$ and $g(x)$ on the same set of axes. The points where the graphs of $f(x)$ and $g(x)$ intersect are the solutions to the original equation.

STEP 4

After graphing, we find the x-coordinates of the points of intersection. These are the solutions to the original equation.

STEP 5

We round the solutions to the nearest tenth as needed.
Without an actual graph, we cannot proceed further with the steps. However, the solutions will be the x-coordinates of the points where the graphs of $f(x)$ and $g(x)$ intersect.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms