Question

I need help solving this logarithmic equation. I need answered step by step,

Answer 1

n = 512

Explanation:

Solving logarithmic equations:

Write logarithmic equations to exponential equation.

`\sf \log_8 \ n = 3\\\\\\ 8^3 = n\\\\`

n = 8 * 8 *8

n = 512

Answer 2

Okay, here we have this:

We need to solve the following equation for n:

`\log _8n=3`

To solve this equation we will pass the logarithm to its exponential form:

`\begin{gathered} n=8^3 \\ n=8\cdot8\cdot8 \\ n=512 \end{gathered}`

Finally we obtain that n=512.