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Which equation is equivalent to log Subscript 3 Baseline (x 5) = 2?.

Sagot :

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.