Answer:
Value of n is 9.70 (approx.)
Step-by-step explanation:
Given Expression: \(11^{n-8}-5=54\)
We need to solve the given expression.
Consider,
\(11^{n-8}-5=54\)
transpose 5 to RHS
\(11^{n-8}=54+5\)
\(11^{n-8}=59\)
take log on both sides.
\(log\,11^{n-8}=log\,59\)
\((n-8)log\,11=1.77\)
\((n-8)\times1.04=1.77\)
\(n-8=\frac{1.77}{1.04}\)
\(n=1.70+8\)
\(n=9.70\)
Therefore, Value of n is 9.70 (approx.)
