Question

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

Answer 1

Answer: $5=log_{2}(32)$

Step-by-step 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:

$5=log_{2}(32)$

Answer 2

Answer:

5 = log₂ 32

Step-by-step 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.