Soal MTK SMA IPS1. 5^log 625 + 3^log 243 × 2^log 128 =...2. 2^log 9 × 25^log 64 × 27^log 125 =...3. .... Question from @AkbarDesmo

October 2019 1 32 Report

Soal MTK SMA IPS

1. 5^log 625 + 3^log 243 × 2^log 128 =...
2. 2^log 9 × 25^log 64 × 27^log 125 =...
3. Misal : 7^log 5 = a, tentukan 25^log 7 =...
4. Misal : 2^log 5 = m, 2^log 7 = n
Tentukan : a. 14^log 10 =...
b. 5^log 35 =...
c. 20^log 28 =...

Mohon bantuannya ya para suhu MTK, besok dikumpulkan...

asna030694

$5 log(625) + 3 log(243) \times 2 log(128) \\ = 5 log( {5}^{4} ) + 3 log( {3}^{5} ) \times 2 log( {2}^{7} ) \\ = 4 + 5 \times 7 \\ = 4 + 35 \\ = 39$

$2 log(9) \times 25 log(64) \times 27 log(125) \\ = 2 log( {3}^{2} ) \times {5}^{2} log( {2}^{6} ) \times {3}^{3} log( {5}^{3} ) \\ = (2 \times \frac{6}{2} \times \frac{3}{3} ) \times 5 log(2) \times 2 log(3) \times 3 log(5) \\ = 6 \times 5 log(5) \\ = 6 \times 1 \\ = 6$

$7 log(5 ) = a \\ 25 log(7) \\ = {5}^{2} log(7) \\ = \frac{1}{2} \times 5 log(7) \\ = \frac{1}{2} \times \frac{1}{7 log(5) } \\ = \frac{1}{2} \times \frac{1}{a} \\ = \frac{1}{2a}$

$2 log(5) = m \\ 2 log(7) = n \\ a. \: 14 log(10) \\ = \frac{2 log(10) }{2 log(14) } \\ = \frac{2 log(5) \times 2 log(2) }{2 log(7) \times 2 log(2) } \\ = \frac{m}{n}$

$b. \: 5 log(35) \\ = 5 log(7) \times 5 log(5) \\ = \frac{2 log(7) }{2 log(5) } \times 1 \\ = \frac{n}{m}$

$c. \: 20 log(28) \\ = \frac{2 log(28) }{2 log(20) } \\ = \frac{2 log(7) \times 2 log(2) \times 2 log(2) }{2 log(5) \times 2 log(2) \times 2 log(2) } \\ = \frac{n \times 1 \times 1}{m \times 1 \times 1} \\ = \frac{n}{m}$

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AkbarDesmo Makasih

Soal MTK SMA IPS1. 5^log 625 + 3^log 243 × 2^log 128 =...2. 2^log 9 × 25^log 64 × 27^log 125 =...3. Misal : 7^log 5 = a, tentukan 25^log 7 =...4. Misal : 2^log 5 = m, 2^log 7 = nTentukan : a. 14^log 10 =...b. 5^log 35 =...c. 20^log 28 =...Mohon bantuannya ya para suhu MTK, besok dikumpulkan...

Answer

Soal MTK SMA IPS1. 5^log 625 + 3^log 243 × 2^log 128 =...2. 2^log 9 × 25^log 64 × 27^log 125 =...3. Misal : 7^log 5 = a, tentukan 25^log 7 =...4. Misal : 2^log 5 = m, 2^log 7 = nTentukan : a. 14^log 10 =...b. 5^log 35 =...c. 20^log 28 =...Mohon bantuannya ya para suhu MTK, besok dikumpulkan...

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