Question

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

Answer 1

Answer:

n=512

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:

$\begin{gathered} n=8\times8\times8 \\ n=512 \end{gathered}$

The value of n is 512.