208k views
3 votes
PLS HELP!!
what is the value of x?
log2(x+7) = 2​

PLS HELP!! what is the value of x? log2(x+7) = 2​-example-1

2 Answers

1 vote

Answer: Choice A) -3

Work Shown:


\log_(2)(x+7) = 2\\\\x+7 = 2^2\\\\x+7 = 4\\\\x = 4-7\\\\x = -3\\\\

Which leads us to choice A. In the second step, I used the rule that
\log_b(y) = x is equivalent to
y = b^x. For each equation, the b is the base. Note how logs undo exponents and vice versa.

User Yousha Arif
by
8.4k points
4 votes

Answer:

-3

Explanation:

log2(x+7) = 2​

Raise each side by base 2

2^log2(x+7) = 2^2​

x+7 = 4

Subtract 7 from each side

x+7-7 = 4-7

x=-3

User Marcosfromero
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories