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Find the domain of the function. (Enter your answer using interval notation.)f(x) = log2(x + 3)

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Solution 1

1. Break Down the Problem

To find the domain of the function f(x)=log2(x+3) f(x) = \log_2(x + 3) , we need to determine for which values of x x the logarithm is defined.

2. Relevant Concepts

The logarithmic function logb(x) \log_b(x) is defined only for positive values of x x . Therefore, we nee Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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The function 𝑓 is given by 𝑓𝑥=log2𝑥. What input value in the domain of 𝑓 yields an output value of 4 ?

The functions 𝑔 and ℎ are given by           𝑔⁡(𝑥)=log4⁡(2⁢𝑥)            ℎ⁡(𝑥)=(𝑒𝑥)5𝑒(1/4).(i) Solve 𝑔⁡(𝑥)=3 for values of 𝑥 in the domain of 𝑔.

The functions 𝑔 and ℎ are given by          𝑔⁡(𝑥)=log5⁡(4⁢𝑥-2)          ℎ⁡(𝑥)=sin-1⁡(8⁢𝑥).(i) Solve 𝑔⁡(𝑥)=3 for values of 𝑥 in the domain of 𝑔.

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