SOLUTION: If n and p are positive integers such that 8(2^p) = 4^n , what is n in terms of p?

SOLUTION: If n and p are positive integers such that 8(2^p) = 4^n , what is n in terms of p?

Algebra.Com

Question 1105187: If n and p are positive integers such that 8(2^p) = 4^n , what is n in terms of p?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
8(2^p) = 4^n
:
Note rewrite above as
:
2^(3+p) = 4^n
:
now we can write
:
4^n = 2^(3+p)
:
take logarithm base 4 of both sides
:
n = ln ( 2^(3+p) ) / ln (4) for 2^p > 0 and ln is the natural logarithm
:

RELATED QUESTIONS
If 2m - n = 8 and m + p = 14, what is the value of n in terms of... (answered by ewatrrr)

Two positive integers j and k satisfy the relation jRk if and only if {{{j=k^2+1}}}. If... (answered by solver91311)

For arbitrary positive integers k, m, and n, will there exist a prime p such that... (answered by Edwin McCravy)

For n ∈N, P(n) is a proposition such that for any n ∈ N, P(n + 1) ⇒... (answered by tommyt3rd)

Let $P(x)$ be a nonconstant polynomial, where all the coefficients are nonnegative... (answered by jim_thompson5910)

Let P(x) be a nonconstant polynomial, where all the coefficients are nonnegative... (answered by Edwin McCravy,ikleyn)

please help me if any one can if x^2-63x-64=0 and p and n are integers such that... (answered by MathLover1,MathTherapy)

Find the positive integer n such that P(n+1,3)=10... (answered by greenestamps)

If n and p are different positive prime numbers, which of the integers n^4, p^3 and np... (answered by AnlytcPhil)