# Thread: natural log

1. ## natural log

170(1.04)^t=227 (1.01)^t

How do you solve this

2. Originally Posted by sadieann
170(1.04)^t=227 (1.01)^t

How do you solve this
Collect like terms on different sides of the equation. You have to divide here.

$170\cdot (1.04)^t = 227 \cdot (1.01)^t~\implies~\dfrac{1.04^t}{1.01^t} = \dfrac{227}{170}~\implies~\left(\dfrac{1.04}{1.01} \right)^t = \dfrac{227}{170}$

t is an exponent (= logarithm). Can you take it from here?