express the logarithms of the following as the sum of the logarithm s (i) 35x46 (ii) 235 x437
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log(35×46)
do prime factorisation
log(5×7×2×3×7)=log(2×3×5×7²)
now using property log ab= log a + log b and log a²=2log a
log 2 + log 3 + log 5 + 2 log 7
log(235×437)
log(5×47×19×23)
log 5 + log 47+ log 19 +log 23
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2
Answer:
Log235 to the Base 10+log437 to Base 10
By using logxy to the Base a =logx to the Base a+logy to the Base a
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