Question

0,1 В СТЕПЕНИ Х+2 РАВНО 100

Answer 1

0.1^(x+2)=100
10^(-x-2)=10^2
-x-2=2
x=-4
вот)

Answer 2

To solve for the value of x in the equation 0.1^(x+2) = 100, we can take the logarithm of both sides of the equation with base 10:

log(0.1^(x+2)) = log(100)

Using the logarithmic rule that log(a^b) = b*log(a), we can simplify the left-hand side of the equation:

(x+2)*log(0.1) = log(100)

Since log(0.1) is equal to -1, we can substitute that value in:

(x+2)*(-1) = log(100)

Simplifying further:

-x - 2 = log(100)

We can now isolate x by adding 2 to both sides and multiplying by -1:

x = -log(100) - 2

Using a calculator, we can evaluate log(100) to be 2, so:

x = -2 - 2 = -4

Therefore, the solution to the equation 0.1^(x+2) = 100 is x = -4.