Answer:
x = 9.125 and 0.875
Explanation:
Given the expression
log (x² + 8) = 1 +log(x)?
This can also be written as;
log (x² + 8) = log 10 +logo(x)
log (x² + 8) = log(10x)
(x² + 8) = (10x)
x² -10x + 8 = 0
Factorize;
x = 10±√(-10)²-4(8)/2
x = 10±√100-32/2
x = 10±√68/2
x = 10±8.25/2
x = 10+8.25/2 and 10-8.25/2
x = 18.25/2 and 1.75/2
x = 9.125 and 0.875