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Math Help - natural log

  1. #1
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    Question natural log

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

    How do you solve this
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  2. #2
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    Quote Originally Posted by sadieann View Post
    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?
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