3log2 (1/8) + 10 (lg2+lg5)
First, let's simplify the expression inside the parentheses.
log2 (1/8) = log2 (2^-3) = -3
lg2 = 1
lg5 = log10 5 / log10 2 ≈ 0.6989700043
Now substitute these values back into the expression:
3(-3) + 10(1 + 0.6989700043)= -9 + 10*(1.6989700043)= -9 + 16.989700043= 7.989700043
Therefore, the final result is approximately 7.9897.
3log2 (1/8) + 10 (lg2+lg5)
First, let's simplify the expression inside the parentheses.
log2 (1/8) = log2 (2^-3) = -3
lg2 = 1
lg5 = log10 5 / log10 2 ≈ 0.6989700043
Now substitute these values back into the expression:
3(-3) + 10(1 + 0.6989700043)
= -9 + 10*(1.6989700043)
= -9 + 16.989700043
= 7.989700043
Therefore, the final result is approximately 7.9897.