What is the answer to 5*(5^{5x})/(25^x)=25 ?

The answer to 5*(5^{5x})/(25^x)=25 is x= 1/3

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5*(5^{5x})/(25^x)=25

5 \cdot \frac{5 ^{5 x}}{2 5 ^{x}} = 25

x = \frac{1}{3}

Decimal

x = 0.33333 \dots

Solution steps

5 \cdot \frac{5 ^{5 x}}{2 5 ^{x}} = 25

Apply exponent rules

3 x + 1 = 2

Solve

3 x + 1 = 2 : x = \frac{1}{3}

x = \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

The solution is

x = \frac{1}{3}

t e^{a t}

\frac{324}{327} = e^{10 k}

2 = 0.1 x + e^{0.25 x}

y, x y = e^{x + y}

9^{x^{2}} = 3^{x + 3}

What is the answer to 5*(5^{5x})/(25^x)=25 ?
The answer to 5*(5^{5x})/(25^x)=25 is x= 1/3
Solve for x: 5*(5^{5x})/(25^x)=25
The solution is x= 1/3