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vitfil [10]
3 years ago
7

Apply logarithm to evaluate T given 644 204=400 000 (1+10%)^T,by first simplify the equation.​

Biology
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

T = 4.9988

Explanation:

Given the expression

644 204=400 000 (1+10 \%)^T

Since 10% = 0.1, the expression becomes;

644 204=400 000 (1+0.1)^T\\644 204=400 000 (1.1)^T\\\frac{644204}{400000} =1.1^T\\1.61051=1.1^T

Take the logarithm of both sides

log1.61051=log1.1^T\\log1.61051=Tlog1.1\\Swap\\Tlog1.1=log1.61051\\T=\frac{log1.61051}{log1.1}\\T=\frac{0.2069}{0.04139}  \\T=4.9988

Hence the value of T is 4.9988

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