Question

Решить уравненияlog1/5(4+2)=−1

Answer 1

Iog1/5 (4+2)=-1
4+2=(1/5)-1
4x+2=6
4x=2
x=4

Answer 2

To solve the equation:

log₁/₅(4 + 2) = -1

We need to rewrite the equation using the definition of logarithms. The logarithm with base "a" of a number "b" is defined as the exponent to which "a" must be raised to get "b." In this case, we have a base of 1/5 (1 divided by 5), and the number inside the logarithm is (4 + 2).

So, we can rewrite the equation as:

1/5^(-1) = 4 + 2

Now, let's simplify:

1/5^(-1) = 1/(1/5) = 5

Now we have:

5 = 4 + 2

Combine the terms:

5 = 6

This is not a true statement, which means there is no solution to the equation. The original equation is not valid for any value of "x" since the left-hand side is not equal to the right-hand side.

Therefore, the equation log₁/₅(4 + 2) = -1 has no solution.