Final answer:
To solve the equation 5²ˣ = 17, we can take the logarithm base 5 of both sides to isolate x. The approximate value of x is 1.27096.
Step-by-step explanation:
To solve the equation 5^2x = 17, we need to isolate x. To do that, we can take the logarithm of both sides of the equation. Since the base is 5, we can take the logarithm base 5 of both sides.
log_5(5^2x) = log_5(17)
2x = log_5(17)
x = log_5(17)/2
Using a calculator, we can find the approximate value of x to be 1.27096.
In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x
Learn more about Solving exponential equations