Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.

e^{x+11} = .

**Solution:-**

An exponential equation is an equation containing a various in an exponent. Some exponential equations can be solved by expressing each side of the equation as a power of the same base.

All exponential functions are one-to-one. That is, two different ordered pairs have the same second component. Thus, if is a positive number other than 1 and b^{M }= b^{N}, THEN M = N.

To solve the exponential equation e^{x+11 }= , first express both sides of the equation as a power of the same base.

e ^{x+11 } =

e ^{x+11 } = e^{-1}

Then, set the exponents equal to each other and solve for x.

x + 11 = -1

x = -12

Therefore, the solution set is {-12}.