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How do you find the value of n in exponents?

Image result for In 3^2 x 3^5 =3^3 x 3^n, what is the value of n?

How to solve for exponents

xn=y. Take the log of both sides:

logxn=logy. By identity we get:

n⋅logx=logy. Dividing both sides by log x: n=logylogx. Find the exponent of a number. ...

3n=81. Take the log of both sides:

log3n=log81. By identity we get:

n⋅log3=log81. Dividing both sides by log 3: n=log81log3.