100 Things Penn State Fans Should Know & Do Before They Die (100 Things...Fans Should Know)

100 Things Penn State Fans Should Know & Do Before They Die (100 Things...Fans Should Know)

Matematika Q.

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Q.

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[tex] \sf {}^{2} log512 + {}^{3} log729 + {}^{6} log7.776 - {}^{5} log125[/tex]

[tex] \sf = {}^{2} log512 + {}^{3} log729 + {}^{6} log7.776 - {}^{5} log125[/tex]

[tex] \sf = {}^{2} log {2}^{9} + {}^{3} log729 + {}^{6} log7.776 - {}^{5} log125[/tex]

[tex] \sf = {}^{2} log {2}^{9} + {}^{3} log {3}^{6} + {}^{6} log7.776 - {}^{5} log125[/tex]

[tex] \sf = {}^{2} log {2}^{9} + {}^{3} log {3}^{6} + {}^{6} log {6}^{5} - {}^{5} log125[/tex]

[tex] \sf = {}^{2} log {2}^{9} + {}^{3} log {3}^{6} + {}^{6} log {6}^{5} - {}^{5} log {5}^{3} [/tex]

[tex] \sf = 9 + 6 + 5 - 3[/tex]

[tex] \sf = 15 + 5 - 3[/tex]

[tex] \sf = 20 - 3[/tex]

[tex] \sf = 17[/tex]

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[tex] \sf {}^{2} log512 + {}^{3} log729 + {}^{6} log7.776 - {}^{5} log125[/tex] = 17

Penjelasan dengan langkah-langkah:

²Log 512 + ³Log 729 + ⁶Log 7.776 - ⁵Log 125

= ²Log 2⁹ + ³Log 3⁶ + ⁶Log 6⁵ - ⁵Log 5³

= (1 × 9) + (1 × 6) + (1 × 5) - (1 × 3)

= 9 + 6 + 5 - 3

= 15 + 5 - 3

= 20 - 3

= 17

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