Respuesta :
The equivalent equation is x - 4 = 0.
Linear system
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Simplification
Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is [tex]\rm log_3(x + 5) = 2[/tex].
To find
The equivalent equation.
How to find the equivalent equation.
The expression is [tex]\rm log_3(x + 5) = 2[/tex].
On simplifying. we get
[tex]\begin{aligned} \rm log_3(x + 5) &= 2\\x + 5 &= 3^2\\x + 5 &= 9 \\x &= 9 - 5\\x &= 4\\x - 4 &= 0\\\end{aligned}[/tex]
The equivalent equation is x - 4 = 0.
More about the linear system link is given below.
https://brainly.com/question/20379472
Answer:
3^2=x+5
Step-by-step explanation:
The correct option is C - 3^2 =x+5
The equation is \log _{3}(x+5)=2
Option A: \log _{3}(x+5)=3^{2}
This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c} - This doesn't work out.
Option B: \log _{3}(x+5)=2^{3}
This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c} - This doesn't work either.
Option C: x+5=3^{2}
This is possible because using logarithmic rule, if \log _{a} b=c then b=a^{c} - This works and It's equal
Option D: x+5=2^{3}
This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c} - This doesn't work also.
