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\[\large 12\times1.17^{t}=56\ ...........(1)\] Dividing both sides of (1) by 12, we get: \[\large 1.17^{t}=\frac{56}{12}\ ..........(2)\] Taking logs of both sides of (2) we get: \[\large t \times \log 1.17=\log 56-\log 12\ ..........(3)\] Dividing both sides of (3) by log 1.17 we get: \[\large t=\frac{\log 56-\log 12}{\log 1.17}=you\ can\ calculate\]
Your result for the calculation of t is not correct. What result do you get for the numerator? log 56 - log 12 = ?
Good work. That is correct. Now divide that result by log 1.17.
Yes, that is correct.
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