soccergal12
solve: (1.025)^12t = 3



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lgbasallote
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\[(1.025)^{12t} = 3\]
first step take the log
\[\Large \log_{1.025} (3) = 12t\]
now divide by 12 to get t
\[\large \frac{\log_{1.025} (3)}{12} = t\]

soccergal12
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if i wanted to get an answer with decimals. would i go log(3/1.025) / 12 ?

lgbasallote
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no that's different

lgbasallote
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just do that thing i said

lgbasallote
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otherwise you'll have to go \[\frac{\log 3}{12\log 1.025} = t\]

soccergal12
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so i just leave it in the form you left it in as? log_1.025 (3) / 12 = t ... and i dont simplify it?

lgbasallote
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you use a calculator to simplify of course

soccergal12
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im not sure how to plug it into my calculator

lgbasallote
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do \[\log 3 \div \log 1.025\]
what do you get

soccergal12
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44.492

lgbasallote
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now divide by 12

soccergal12
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3.707

lgbasallote
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\[t \approx 3.71\]`

soccergal12
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thanks!

lgbasallote
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<tips imaginary hat>