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Verified Answer :

toporc

First rearrange as:
\(\frac{1900}{1300}=1.0625^{x}\)
Taking logs of both sides, we get:
\(log\ \frac{1900}{1300}=x\ log1.0625\)
\(x=\frac{log\frac{1900}{1300}}{log\ 1.0625}=6.26\)
x = 6.26.

Panoyin

1900 = 1300(1 + 0.0625)ˣ
   1900 = 1300(1.0625)ˣ
   1300           1300
      1⁶/₁₃ = (1.0625)ˣ
㏑(1⁶/₁₃) = ln((1.0625)ˣ)
㏑(1⁶/₁₃) = x㏑(1¹/₁₆)
 ln(1¹/₁₆)     ln(1¹/₁₆)
    6.26 ≈ x

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