5^2x=3
If I remember correctly, you would log both sides of the equation to and move the 2x to the front. so it would be 2xLOG5=3. Does that work? If not sorry.
I thought you would do guess and check
but i have no idea
do you understand what i did?
2 x log 5 = LOG 3
what is X???
use your calculator and solve for it
To solve the equation 5^2x = 3, we need to isolate the variable x. Let's break down the steps to find x.
Step 1: Rewrite the equation using the exponent rules.
5^2x = 3
(5^2)^x = 3
25^x = 3
Step 2: Take the logarithm of both sides of the equation. The choice of logarithm base is up to you, but for simplicity, let's use the natural logarithm (ln).
ln(25^x) = ln(3)
Step 3: Use the logarithm properties to simplify the equation.
x * ln(25) = ln(3)
Step 4: Evaluate the natural logarithm of 25 and ln(3).
x * ln(5^2) = ln(3)
x * 2 * ln(5) = ln(3)
Step 5: Divide both sides of the equation by 2 * ln(5) to solve for x.
x = ln(3) / (2 * ln(5))
Using a calculator, you can find the approximate value of x.