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Umnica [9.8K]
2 years ago
12

Solve the equation. Round the solution to the nearest tenth . Enter the solution set of the equation . 2P o =P 0 (1.053)^ t

Mathematics
1 answer:
kow [346]2 years ago
6 0

Answer: t= 13.4

Step-by-step explanation:

The given equation is 2P_0=P_0(1.053)^t

To solve this equation for 't', we first divide both sides by P_0, we get

2=(1.053)^t

Taking log on both the sides, we get

\log 2= \log(1.053)^t

Since \log a^b=b\log a

Then,

\log 2= t\log1.053\\\\\Rightarrow0.30103=t(0.02243)\\\\\Rightarrow t=\dfrac{0.30103}{0.02243}\\\\\Rightarrow t=13.4208649131\approx13.4

Hence, the value of t is 13.4.

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So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

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