Respuesta :

carlosego
We have the following expression:
 log4 + log (x + 2) = 1
 By properties of logarithm we can rewrite the expression as:
 log (4 * (x + 2)) = 1
 Then, Rewriting we have:
 10 ^ (log (4 * (x + 2))) = 10 ^ 1
 4 * (x + 2) = 10 ^ 1
 Rewriting:
 4x + 8 = 10 ^ 1
 Answer:
 The equivalent expression is:
 4x + 8 = 10 ^ 1

A logarithm is used to raise the power of a number to get a certain number.

The equivalent equation is [tex]\rm \dfrac{4}{x+2} = 10^1[/tex].

Given

The equation is;

[tex]\rm log4 + log(x + 2) = 1[/tex]

What is the logarithmic equation?

A logarithm is used to raise the power of a number to get a certain number.

The logarithm equation can be solved by using the properties;

[tex]\rm log4 + log(x + 2) = 1\\\\log\left ( \dfrac{4}{x+2} \right) = 1\\\\Taking \ log \ base \ 10\\\\\dfrac{4}{x+2} = 10^1[/tex]

Hence, the equivalent equation is [tex]\rm \dfrac{4}{x+2} = 10^1[/tex].

To know more about Logarithmic equations click the link given below.

https://brainly.com/question/3698000

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