Find X^2

The solution to the equation 25^x = 125 is x = 3/2. Squaring this value gives x^2 = 9/4.

Answer

Let’s break this problem down.

Step 1: Solve for X

We start with the equation:

Recognize that both 25 and 125 can be expressed as powers of 5:

Substitute these into the equation:

Using the rule of exponents that says

, we get:

Since the bases are the same, we can equate the exponents:

Solve for x:

Step 2: Calculate X²

Now that we know

, we can find

Answer:

Related math solutions

Solve Rational Equation (y-1)/(1-y)=1

Determine that the rational equation (y-1)/(1-y)=1 has no solution because the denominator is the negative of the numerator, making the left side equal -1.

Solving a Cubic Equation by Factoring

This problem involves solving the cubic equation 2x^3 + 2x^2 - 24x = 0 by factoring out the greatest common factor and then factoring the resulting quadratic expression.

Prove Re(z+1)/(z-1) = 0 for Complex Number Magnitude 1

Learn how to prove that the real part of the complex expression (z+1)/(z-1) is equal to zero when |z|=1 and z is not equal to 1, using complex conjugates and magnitude properties.

Finding Intersections of Set A with Real, Rational, Integer, and Irrational Number Sets

Determine the intersections of the given set A containing square roots, pi, repeating decimals, and fractions with standard number systems such as R, Q, Z, I, and N.

Find the Inverse of f(x) = (8x - 4) / 3

Learn step-by-step how to find the inverse of the linear rational function f(x) = (8x - 4) / 3 by swapping variables and solving for y.

Question

Answer

Related math solutions

永久解锁网页版

Related math solutions