Solve for x 114x7113310SolutionWe notice that 1331 is a powe

Solve for x: 11^(4x+7)-1/1331=0

Solution

We notice that 1331 is a power of 11 and we\'ll create matching bases: 1/1331 = 1/11^3 = 11^-3

We\'ll re-write the equation shifting 11^-3 to the right side:

11^(4x+7) = 11^-3

Since the bases are matching, we\'ll apply the one to one rule and we\'ll equate the superscripts:

4x+7 = -3

We\'ll subtract 7 both sides:

4x = -7-3

4x = -10

We\'ll divide by 4:

x = -10/4

The requested solution of the equation is x = -5/2.