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brilliants [131]
3 years ago
7

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

Mathematics
2 answers:
MissTica3 years ago
6 0

Answer:

-3

Step-by-step 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

Sedbober [7]3 years ago
3 0

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.

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