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Answer :
Answer:
t = 12.28313558
Step-by-step explanation:
Given the equation:
[tex]60000=12000(1.14)^t[/tex]
Solve for t.
First, divide both sides by 12000.
[tex]\frac{60000}{12000} = 1.14^t\\5 = 1.14^t[/tex]
Take the natural log of both sides.
[tex]\ln 5 = \ln 1.14^t \\[/tex]
Use the property of logarithms where:
[tex]\ln a^b = b \ln a[/tex]
It becomes:
[tex]\ln 5 = t \ln 1.14[/tex]
Lastly, divide natural log 5 by natural 1.14 to obtain t.
[tex]\frac{\ln 5}{\ln 1.14} = t \\t = 12.28313558[/tex]
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