Question

Simplify 5^(log7(n)). In particular, write it as n to the power of some number.

A) n^(log7(5))
B) 5^(n log7)
C) (log7(5))ⁿ
D) (log7(n))⁵

Answer 1

To simplify 5^(log7(n)), we can use the property that states that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. So, we have 5^(log7(n)) = n^(log7(5)).

Step-by-step explanation:

To simplify 5^(log7(n)), we can use the property that states that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. So, we have 5^(log7(n)) = n^(log7(5)). Therefore, the simplified expression is option A) n^(log7(5)).