Evaluate: integral of x ^ 5 x

Expression: ${3}^{x+1}={9}^{x+1}$

Write the expression in exponential form with the base of $3$

${3}^{x+1}={3}^{2x+2}$

Since the bases are the same, set the exponents equal

$x+1=2x+2$

Move the variable to the left-hand side and change its sign

$x+1-2x=2$

Move the constant to the right-hand side and change its sign

$x-2x=2-1$

Collect like terms

$-x=2-1$

Subtract the numbers

$-x=1$

Change the signs on both sides of the equation

$x=-1$