Question

10 в степени х-1 больше или ровно 0,01 Пожалуйста, буду благодарна

Answer 1

$10^{x-1} \geq 0.01$
0.01= 10^(-2)
Значит $10^{x-1} \geq 10^{-2}$
x-1$\geq$ -2
x $\geq$ -1.

Answer 2

Calculating 10 to the Power of x Minus 1

To calculate 10 to the power of x minus 1 and determine if it is greater than or equal to 0.01, we can use the following mathematical expression:

10^x - 1 >= 0.01

Let's solve this inequality to find the value of x.

Solving the Inequality

To solve the inequality 10^x - 1 >= 0.01, we can use logarithms. Taking the logarithm of both sides of the inequality will help us solve for x.

Taking the logarithm of both sides gives us:

log(10^x - 1) >= log(0.01)

Now, we can use the properties of logarithms to simplify and solve for x.

Calculating the Value of x

Using the properties of logarithms, we can simplify the inequality and solve for x:

x >= (log(0.01) + 1) / log(10)

By evaluating the right-hand side of the inequality, we can find the value of x that satisfies the original inequality.

Conclusion

The value of x that satisfies the inequality 10^x - 1 >= 0.01 is given by x >= (log(0.01) + 1) / log(10). This will give us the minimum value of x for which the inequality holds true.