Tìm x

To solve this equation, we can rewrite it as:

(5^2)^x : 5^x = 36

Simplifying the left side of the equation:

5^(2x) : 5^x = 36

Using the quotient rule of exponents, we subtract the exponents:

5^(2x - x) = 36

Simplifying further:

5^x = 36

Now, we can take the logarithm of both sides of the equation to solve for x:

log(5^x) = log(36)

Using the logarithm property log(a^b) = b * log(a):

x * log(5) = log(36)

Dividing both sides by log(5):

x = log(36) / log(5)

Using a calculator, we can find the approximate value of x:

x ≈ 1.2091