Question

I need help on this logarithmic equation Need it answered step by step

Answer 1

n=512

Step-by-step explanation:

Given the logarithmic equation below:

`\log _8n=3`

To solve for n, the easiest way would be to change from logarithm form to the exponential form as follows:

• The base of the logarithm form becomes the base of the new exponential form.

,

• The number on the right becomes the index.

`n=8^3`

Thus:

`\begin{gathered} n=8*8*8 \\ n=512 \end{gathered}`

The value of n is 512.