Question

Which logarithmic equation is equivalent to 2^5=32?

Answer 1

5 = log₂ 32

Explanation:

When a logarithmic equation is written as b = logₐ c

That means its exponential form is aᵇ = c

In this question exponential expression is given as 2⁵ = 32

By comparing with exponential form given above we find a = 2, b = 5 and c = 32

Now we put these values in the logarithmic equation

5 = log₂ 32 will be the logarithmic equation.

Answer 2

Answer:
`5=log_(2)(32)`

Explanation:

1. By definition, you have if
`y=b^(x)`, then
`x=log_(b)(y)`

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

`2^(5)=32`

Where:

`x=5\\y=32\\b=2`

- Substitute values into
`x=log_(b)(y)`. Then, you obtain:

`5=log_(2)(32)`