Question

Log(4)x+ log(4)5=log(4)20

Answer 1

Х +5=20
Х=15 Вот и решение

Answer 2

To solve the equation log₄x + log₄5 = log₄20, we can use the logarithmic properties to simplify it.

First, we can apply the logarithmic property logₐb + logₐc = logₐ(bc) to combine the two logarithms on the left-hand side:

log₄x + log₄5 = log₄(5x)

The equation now becomes:

log₄(5x) = log₄20

According to the logarithmic property logₐb = logₐc if and only if b = c, we can remove the logarithm on both sides, resulting in:

5x = 20

Now we solve for x:

Divide both sides by 5:

x = 4

Therefore, the solution to the equation log₄x + log₄5 = log₄20 is x = 4.