Question

Log7 x=log7 12-log7 3

Answer 1

$log_{7} x=log_{7}12-log_{7}3\\\\log_{7} x=log_{7} \frac{12}{3}\\\\log_{7}x=log_{7}4\\\\x=4\\\\Otvet:\boxed{4}$

Answer 2

To solve the equation log7(x) = log7(12) - log7(3), you can use the properties of logarithms, particularly the properties of subtraction and division. Here's how you can solve it step by step:

1. Start with the given equation: log7(x) = log7(12) - log7(3)

2. Use the property of subtraction of logarithms: log7(x) = log7(12/3)

3. Simplify the right side: log7(x) = log7(4)

4. Since both sides have the same base (logarithm base 7), you can equate the expressions inside the logarithms: x = 4

So, the solution to the equation is x = 4.