Question

Log4(9-5x)=log4(4x+5)

Answer 1

9-5x=4x+5
9x=4
x4/9
9-5x>0
x<9/5

Answer 2

Для начала преобразуем уравнение, используя свойство логарифмов: log(a) - log(b) = log(a/b).

log4(9-5x) = log4(4x+5)

Теперь применим это свойство:

9-5x = 4x+5

Теперь решим уравнение, чтобы найти значение x:

9-5 = 4x+5x 4x = 4 x = 1

Таким образом, значение x равно 1.

Answer 3

I can help you with math problems. To solve this equation, we need to use the property that if log_a(b) = log_a(c), then b = c. So, we can write:

9 - 5x = 4x + 5

Then, we can simplify and solve for x by subtracting 4x from both sides and adding 5x to both sides:

9 - 5 = 9x

4 = 9x

x = 4/9

Therefore, the solution is x = 4/9. You can check this by plugging it back into the original equation and verifying that both sides are equal. You can also use a logarithm calculator to verify your answer. For example, you can try this one.

: https://www.symbolab.com/solver/logarithms-calculator