Question

(0,04)^X+2= 125 PLEASE

Answer 1

4/100=1/25=5^(-2); 125=5^3; тогда уравнение примет вид:
5^(-2*(x+2))=5^3
Получаем, что: -2*(x+2)=3.
-2x-4=3
-2x=7
x=-3,5.

Answer 2

To solve the equation (0.04)^x + 2 = 125, you can follow these steps:

1. Start by subtracting 2 from both sides of the equation to isolate the term with the exponent:

(0.04)^x = 125 - 2

This simplifies to:

(0.04)^x = 123

2. Take the natural logarithm (ln) of both sides to remove the exponent:

ln((0.04)^x) = ln(123)

Use the property of logarithms that allows you to bring the exponent down as a coefficient:

x * ln(0.04) = ln(123)

3. Now, solve for x by dividing both sides by ln(0.04):

x = ln(123) / ln(0.04)

Using a calculator:

x ≈ -66.23

So, the approximate solution to the equation is x ≈ -66.23.