The value of x from the logarithmic expression is 4 and -8
Given the logarithmic expression
Logarithm are inverse of exponential function. Given the logarithmic function below;
log (X) + log (X+4)=log 32
Since positive will become multiplication, hence;
X(X+4) = 32
Expand
X^2 + 4x = 32
x^2 + 4x - 32 = 0
x^2 + 8x - 4x - 32 = 0
x(x + 8) - 4(x + 8) = 0
(x-4)(x+8) = 0
X = 4 and -8
Hence the value of x from the logarithmic expression is 4 and -8
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