given log 2=0.3010, log 3=0.4771 and log 5=0.6990: find : log 216 to the base 5
Answers
Answered by
2
Step-by-step explanation:
log 216 base 5
log216/log5
log 216
=log 6³
=3 log 6
=3(log(3×2))
=3(log3+log2)
=3(0.4771+0.3010)
=3(0.7781)
=2.3343
log 5=0.6990
log 216/log 5
2.3343/0.6990
3.339
Answered by
0
Answer:
3.3394
Step-by-step explanation:
To find: log 216/log 5
log 216
=log 6^3
=3 log 6
=3 log (2×3)
=3 (log 2+ log 3)
=3 (0.3010+ 0.4771)
=3 (0.7781)
= 2.3343
Given: log 5= 0.6990
So,
log 216/ log 5
=2.3343/ 0.6990
= 3.3394
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