Question

(X) + log (X+4)=log 32 for x

Answer 1

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

Learn more on logarithmic expression here: brainly.com/question/25710806

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