Solve Log Problem: n^6 = log_2n(1944) = log_n(486√2)

Thread starter Hockeystar
Start date Mar 4, 2010
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Log

AI Thread Summary

To solve the equation log_2n(1944) = log_n(486√2), one approach is to convert the logarithms to a common base, such as base 10 or e. This allows for easier manipulation of the equation. The goal is to evaluate n^6 based on the equality of the logarithmic expressions. Converting log base 2n to log base n can simplify the problem, but initial attempts may lead to confusion. Ultimately, finding a clear path to isolate n will be crucial for solving the problem.

Mar 4, 2010

Hockeystar

Homework Statement

If log_{}2n(1944) = log_{}n(486\sqrt{}2) then evaluate n^6

P.S the 2n and n are subscripts.

Homework Equations

log base b(a) = c is the same as a^c = b

The Attempt at a Solution

I tried converting log base 2n to log base n but I ended up nowhere.

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Mar 4, 2010

rock.freak667

Homework Helper

Try converting them to either base 10 or to the base of e.

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