2 log 5 base 3 - 5 log 2 base 3
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Answer:
bar 1.7757
Step-by-step explanation:
2log5(base3)-5log2(base3)=?
=2log (5)/log3–5log (2)/log3.
= [2log 5–5log 2]/log 3.
=[2(log 10/2)-5log 2]/log 3.₩
=[2log 10–2log 2–5log 2]/log3.
=[2log 10–7log 2]/log3.
=[2×1.0000–7×0.3010]/0.4771.
= [2.0000–2.1070]/0.4771.
=-0.1070/0.4771.
=-0.2243.
=-1+(1–0.2243).
=-1+0.7757.
= bar 1.7757
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