What is the answer to 5^x-24=(5^2)/(5^x) ?

The answer to 5^x-24=(5^2)/(5^x) is x=2

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5^x-24=(5^2)/(5^x)

5^{x} - 24 = \frac{5 ^{2}}{5 ^{x}}

x = 2

Solution steps

5^{x} - 24 = \frac{5 ^{2}}{5 ^{x}}

Apply exponent rules

5^{x} - 24 = (5^{x})^{- 1} \cdot 5^{2}

Rewrite the equation with

5^{x} = u

u - 24 = (u)^{- 1} \cdot 5^{2}

Solve

u - 24 = u^{- 1} \cdot 5^{2} : u = 25, u = - 1

u = 25, u = - 1

Substitute back

u = 5^{x},

solve for

x

Solve

5^{x} = 25 : x = 2

Solve

5^{x} = - 1 :

No Solution for

x \in R

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

n, a = p (1 - r)^{n}

3^{3 x - 5} = 81

x, 3^{x + y} = 5

(\frac{5}{2})^{x} = \frac{3125}{32}

1 0^{x} = 9

What is the answer to 5^x-24=(5^2)/(5^x) ?
The answer to 5^x-24=(5^2)/(5^x) is x=2
Solve for x: 5^x-24=(5^2)/(5^x)
The solution is x=2