Question

Log7 14+log7 -log7 3,5

Answer 1

$log_714+log_7 \frac{49}{4} -log_73,5=log_7( \frac{14*49}{4*3,5} )=log_749=2.$

Answer 2

To solve this expression, we can use the following logarithmic properties:

1. log(a*b) = log(a) + log(b)
2. log(a/b) = log(a) - log(b)
3. log(a^n) = n*log(a)

Using these properties, we can rewrite the expression as follows:

log7 14 + log7 (1/3.5) - log7 3

= log7 (14 * 1/3.5) - log7 3 (using property 1)

= log7 (4) - log7 3 (simplifying the expression inside the logarithm)

= log7 (4/3) (using property 2)

Therefore, the final answer is log7 (4/3).