Question

If loge 3 = 0.4771, then the value of log 15 + log2 =​

Answer 1

Answer: 1.4771

Step-by-step explanation:

log3=0.4771

log15+log2

=log(15*2)

=log30

=log3+log10

=0.4771+1 (We know log10=1)

=1.4771

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Answer 2

Answer:

1.4771

Step-by-step explanation:

As we know that,

log(mn) = logm + logn (1)

so from the question,

we can also write this way,

log15 + log2 = log(3×5) + log(2) (2)

From eqn 1&2, we get,

= log3 + log5 + log2

again using the above formula,

= log(3×5×2)

= log(30)

= log(3×10)

As again,

= log3 + log10

and we have,

log3 = 0.4771 &

log10 = 1

Hence,

= 0.4771 + 1

= 1.4771

log15 + log2 = 1.4771