Jawaban:

1. a=2 x=5 y=2 z=1

= (a^ax • a^y) / a^xyz

= ax + y - xyz

= 2•5 + 2 - 5•2•1

= 10 + 2 - 10

= 2

= a^2

= 2^2 = 4

2. 15 menit pertama = 15^2 = 225

15 menit kedua = 225^2 = 50625

3. (⁵✓64 • ⁵✓48) / ⁵✓3

= (⁵✓2⁶ • ⁵✓3•2⁴) / ⁵✓3

= (⁵✓2⁶ • ⁵✓3 ⁵✓2⁴) / ⁵✓3

= ⁵✓2⁶ • ⁵✓2⁴

= 2 ⁵✓2⁴

4. ³log9 • ²log4 • ²log4 • ⁴log9

= ³log3² • ²log2² • ²log4 • ⁴log3²

= 2 • 2 • 2 • ²log3

= 8 ²log3

5. ⁵log4 = m

⁴log3 = n

½ ²log3 = n

⁵log4 + ⁴log3 = ⁵log3 = mn

= ¹²log100

= ¹²log25•4

= ¹²log5² + ¹²log2²

= 2 • ¹²log5 + 2 • ¹²log2

= 2 • (1/ (⁵log12)) + 2 • (1/ (²log12))

= 2 • (1/ (⁵log4 + ⁵log3)) + 2 • (1/ (²log4 + ²log3))

= 2 • (1/ (m + mn)) + 2 • (1/ (2 + 2n))

= (2 / (m + mn)) + (1 / (1 + n))