Problem 1 :
Solve for x :
log2 (x + 2) + log2 (3) = log2 (27)
Solution :
Problem 2 :
Solve for x :
log3 x + log3 (x - 2) = log3 (x + 10)
Solution :
Problem 3 :
Solve for x :
ln (ex + 7) = 10
Solution :
Problem 4 :
Solve for x :
Solution :
Problem 5 :
Solve for x :
Solution :
Problem 6 :
Solve for x in terms of y :
log x + log y = log (x + y)
Solution :
Problem 7 :
Given : log4 (x2 + x) - log4 (x + 1) = 2. Find x.
A) 16
B) 0
C) -1
D) None of these
Solution :
Problem 8 :
If log2 x + log4 x = 6, then the value of x is
A) 16
B) 32
C) 64
D) 128
Solution :
Problem 9 :
Solve for x :
log2 x + log4 x + log16 x = 21/4
Solution :
Problem 10 :
What are the restrictions on b, so that x has two solutions in the given logarithmic equation?
Solution :
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