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## Homework Statement

Given the following geometric sequences, determine the number of terms, n.

t

_{1}=5

r (common ratio)=3

t

_{n}=135

## Homework Equations

t

_{n}=t

_{1}r

^{n-1}

where t

_{1}is the first term

n is the number of terms

r is the common ratio

t

_{n}is the general term

## The Attempt at a Solution

I substituted in all known values yielding 135=(5)(3)

^{n-1}, which I simplified to 27=(3)

^{n-1}, leaving me stuck at the exponent variable. From here, how do I algebraically solve for the variable? Thanks!