Express 8×32 in the form of logx to the base a+logy to base a
bhalaraneha:
it is 8*32?
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8x32 can be written as
2³ x 2⁵
wiche is equal to
3log2 + 5log2
(generally if base is not given it means it is 10)
that was which
Answered by
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8 = 2×2×2 = 2³
32 = 2×2×2×2×2 = 2⁵
log 8×32 = log 2³×2⁵ by using the formula [logab = loga+logb]
= log 2³ + log 2⁵
= 2log3 + 5log2
generally for these logs the bases are mostly 10. if it is necessary take the base as 10
32 = 2×2×2×2×2 = 2⁵
log 8×32 = log 2³×2⁵ by using the formula [logab = loga+logb]
= log 2³ + log 2⁵
= 2log3 + 5log2
generally for these logs the bases are mostly 10. if it is necessary take the base as 10
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