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ankoles [38]
3 years ago
5

How would i solve this problem using log base 10

Mathematics
1 answer:
Archy [21]3 years ago
8 0

First isolate the power of 10 on the right side by dividing both sides by 5:

100=5\cdot10^{0.3t}\implies20=10^{0.3t}

Now you're free to take the logarithm and simplify where you can:

\log_{10}20=\log_{10}10^{0.3t}=0.3t\log_{10}10=0.3t

Then solve for t:

t=\dfrac{\log_{10}20}{0.3}\approx4.34

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