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Mathematics 21 Online
OpenStudy (anonymous):

heeeeelp

OpenStudy (anonymous):

solve for w

OpenStudy (anonymous):

\[\frac{ 1 }{ 36 }=6^{4w-5}\]

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

1/36 = 1/(6^2) 1/36 = 6^(-2)

jimthompson5910 (jim_thompson5910):

so you will be left with 6^(-2) = 6^(4w-5)

OpenStudy (anonymous):

so w is 6^-2 or 6^(-2)

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

the bases in 6^(-2) = 6^(4w-5) are equal

jimthompson5910 (jim_thompson5910):

so the exponents must be equal

jimthompson5910 (jim_thompson5910):

which means -2 = 4w - 5

OpenStudy (anonymous):

w=3/4?

jimthompson5910 (jim_thompson5910):

yep

OpenStudy (anonymous):

ty(:

jimthompson5910 (jim_thompson5910):

yw

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