Question

Log7 x = log 7 2,5 + log 7 10

Answer 1

Log (7)Х= log (7) 2,5 + log( 7) 10, Х>0

Log (7)Х= log (7) 25

Х=25

Answer 2

$log_{7}(x) = log_{7}(2.5) + log_{7}(10) \\ log_{7}(x) = log_{7}(2.5 \times 10) \\ log_{7}(x) = log_{7}(25) \\ x = 25$

была использована формула:
loga(x)+loga(y)= loga(x×y)

Answer 3

To solve the equation Log7 x = log7 2.5 + log7 10, we can use logarithmic properties to combine the terms on the right-hand side and then solve for x.

Recall the logarithmic property: log(a) + log(b) = log(a * b)

So, we can rewrite the equation as: Log7 x = log7 (2.5 * 10)

Now, calculate the value inside the logarithm on the right-hand side: 2.5 * 10 = 25

The equation now becomes: Log7 x = log7 25

Since both sides of the equation have the same base (log base 7), the only way the logarithms are equal is if the arguments are equal: x = 25

Therefore, the solution to the equation is x = 25.