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