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

I need help solving this logarithmic equation. I need answered step by step,-example-1
User DNitro
by
7.0k points

2 Answers

2 votes

Answer:

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

User Matthieu Cartier
by
7.0k points
3 votes

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.

User Subs
by
7.2k points