Question

Log (144) 3+log (144) 4

Answer 1

Log (144) 3+log (144) 4 =Log (144) 12=1/2

Answer 2

Cумма логарифмов с общим основанием равна логарифму произведения выражений этих логарифмов по общему основанию

В вашем случае будет логарифм (3*4) по основанию 144 = 1/2

Answer 3

We can use the logarithmic identity:

logₐ(b) + logₐ(c) = logₐ(bc)

to simplify the expression:

log₁₄₄(3) + log₁₄₄(4) = log₁₄₄(3*4) = log₁₄₄(12)

We can further simplify this by expressing 144 as a power of 12:

144 = 12²

So we have:

log₁₂(144) = log₁₂(12²) = 2

Therefore, the expression simplifies to:

log₁₂(12) = 2

So the final answer is 2.