What is the answer to (25^x)/5 =1 ?

The answer to (25^x)/5 =1 is x= 1/2

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(25^x)/5 =1

\frac{2 5 ^{x}}{5} = 1

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

\frac{2 5 ^{x}}{5} = 1

Multiply both sides by

5

\frac{2 5 ^{x}}{5} \cdot 5 = 1 \cdot 5

Simplify

2 5^{x} = 5

Apply exponent rules

2 x = 1

Solve

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

x = \frac{1}{2}

\frac{2 5 ^{x}}{5 ^{x + 4}} = 2 5^{1 - x}

3^{2 x + 3} = 3

e^{x^{2} - 1} = 1

8 + e^{1 - 4 x} = 20

e^{x} - 1 - (\frac{6}{e ^{x}}) = 0