Question

How to solve 11^(n-8) - 5 =54

Answer 1

11ⁿ⁻⁸-5=54
add 5 both sides
11ⁿ⁻⁸=59
take log₁₁ bot sides
log₁₁11ⁿ⁻⁸=log₁₁59
n-8=log₁₁59
add 8 to both sides
n=(log₁₁59)+8

Answer 2

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.)