Tolong bantuin matematika saya yang udah tersedia di bawah ini......

Tolong beri cara yang jelas dan lengkap….

kalau tidak mengerti bisa lihat foto di bawah ya.

Latihan 7

6. √27^log8. √32^log9 =

7. 125^5log2 =

8. 9^log8/ √3^log4 =

9. √5^log27/25^log √3 =

10. √10^log3 √100 =

Tolong bantuin matematika saya yang udah tersedia di bawah ini......

Tolong bantuin matematika saya yang udah tersedia di bawah ini……

Jawaban Terkonfirmasi

$^{ sqrt{27}} log 8$ . $^{ sqrt{32} }log 9$ = $frac{log 8}{log sqrt{27} }$ . $frac{log 9}{log sqrt{32} }$
= $frac{log 2^{3} }{log 3^{ frac{3}{2} } }$ . $frac{log 3^{2} }{log 2^{ frac{5}{2} } }$
= $frac{3 .log 2}{ frac{3}{2} . log 3}$ . $frac{2 . log 3}{ frac{5}{2} log 2}$
= $frac{3 . 2}{ frac{3}{2} . frac{5}{2} }$
= $frac{6}{ frac{15}{4} }$
= 6 . $frac{4}{15}$
= $frac{8}{5}$
7) $125^{ ^{5} log 2}$ = $(5^{3}) ^{ ^{5} log 2}$
= 2³
= 8

$(6.) sqrt{27}log _{10}left(9right)log _{10}left(8cdot sqrt{32}right)\=3cdot sqrt{3}log _{10}left(9right)log _{10}left(8cdot sqrt{32}right)\=3cdot sqrt{3}log _{10}left(9right)log _{10}left(sqrt{2}cdot :4cdot :8right)\=3cdot sqrt{3}log _{10}left(9right)log _{10}left(sqrt{2}cdot :32right)\=2cdot :3cdot sqrt{3}log _{10}left(3right)log _{10}left(sqrt{2}cdot :32right)\=sqrt{3}cdot :6log _{10}left(3right)log _{10}left(sqrt{2}cdot :32right)$

$(7.) =9186706410.6$

$(10.)sqrt{10}log _{10}left(sqrt[3]{100}right)\=2cdot sqrt{10}cdot frac{1}{3}\=frac{2cdot sqrt{10}}{3}\=2.10819$