Question

Consider the equation below. log_4( x + 3 )= log_2 (2 + x ) Which system of equations can represent the equation?


i need answer asap for edg

Answer 1

Answer:

4^y = x + 3

2^y = x + 2

Step-by-step explanation:

log_4(x + 3 ) = log_2 (2 + x )

log_4( x + 3 ) = y

log_2 (2 + x ) = y

4^y = x + 3

2^y = x + 2

Answer 2

The system of equations can represent the equation will be,$\rm 4^y=x+3 \ ,2^y=x+2$

What is a logarithm?

Exponentiation's inverse function is the logarithm. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

Given equation;

log₄( x + 3 )= log₂(2 + x )

log_4(x + 3 ) = log_2 (2 + x )

The identity for the logarithm is applied:

log_4( x + 3 ) = y

4^y = x + 3

log_2 (2 + x ) = y

2^y = x + 2

Hence, the system of equations can represent the equation will be,$\rm 4^y=x+3 \ ,2^y=x+2$

To learn more about the logarithm, refer to the link: https://brainly.com/question/7302008.

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