Exponential and Logarithmic FunctionsFind: log 2 ⁡ ( x 2 − 4 x − 28...

pighead73283r

pighead73283r

Answered

2022-11-11

Exponential and Logarithmic Functions
Find: log 2 ( x 2 4 x 28 ) = 2

Answer & Explanation

Phiplyrhypelw0

Phiplyrhypelw0

Expert

2022-11-12Added 24 answers

Problem: We need to solve for x in the given equation
log 2 ( x 2 4 x 28 ) = 2
Remember that if log a ( b ) = y, then a y = b. In our equation, a=2, b = x 2 4 x 28, and y=2. Therefore x 2 4 x 28 = 2 2 = 4. This is easy to solve for.
x 2 4 x 28 = 4
x 2 4 x 32 = 0
Factor it
( x 8 ) ( x + 4 ) = 0
x = 8 ,   4
Karley Castillo

Karley Castillo

Expert

2022-11-13Added 3 answers

log 2 ( x 2 4 x 28 ) = 2
x 2 4 x 28 = 2 2 = 4
x 2 4 x 32 = 0
( x 8 ) ( x + 4 ) = 0
x = 8 ,   4

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