Question

Rewrite log32(16)=4/5 in exponential form

Answer 1

The logarithmic equation log32(16) = 4/5 can be rewritten in exponential form as 32^(4/5) = 16. The exponential and the natural logarithm are inverse functions, which can be applied to understand their relationship.

Step-by-step explanation:

To rewrite the logarithmic equation log32(16) = 4/5 in exponential form, we use the definition of a logarithm. The logarithm logb(x) = y can be rewritten in exponential form as by = x. Applying this to our equation, we raise the base 32 to the power of 4/5 to get the number 16.

Therefore, the exponential form of the original equation is 324/5 = 16.

It is important to recognize that the exponential and natural logarithm are inverse functions, which can help us understand the properties of logarithms and exponentiation. For instance, the relation In (ex) = x and eln x = x show how they cancel each other out.

Answer 2

Answer:32^(4/5)=16

Step-by-step explanation:

Log32(16)=4/5

In exponential form we get

32^(4/5)=16