Solve 11^x + 3 = 758

Notice that these bases CANNOT be rewritten as the same base.	11x + 3 = 758
Isolate the exponential term. (Subtract 3 from both sides of the equation.)	11x = 755
Since the inverse of exponents is logs, take the log of both sides.	log 11x = log 755
Rewrite using the Power Property.	x log 11 = log 755
Solve for x.	x = log 755 log 11 x = 2.764
Check.

Solve 3^x-2 = 15^x

These bases cannot be rewritten with the same base.	11x + 3 = 758
Since the inverse of exponents is logs, take the log of both sides.	log 3x-2 = log 15x
Rewrite using the Power Property.	(x - 2)log 3 = x log 15
Solve for x.	x - 2 = x log 15 log 3 x - 2 ≈ 2.465x -2 ≈ 1.465x x ≈ -1.37
Check.