Solve 3^(x 1)=6^(2x 10)

Evaluate

3^{x \times 1} = 6^{2 x \times 10}

Any expression multiplied by 1 remains the same

3^{x} = 6^{2 x \times 10}

Multiply the terms

3^{x} = 6^{20 x}

Divide both sides

\frac{3 ^{x}}{6 ^{20 x}} = 1

Evaluate

More Steps

\frac{3 ^{- 19 x}}{2 ^{20 x}} = 1

Evaluate

More Steps

(\frac{1}{3 ^{19} \times 2 ^{20}})^{x} = 1

Write the number in exponential form with the base of \frac{1}{3 ^{19} \times 2 ^{20}}

(\frac{1}{3 ^{19} \times 2 ^{20}})^{x} = (\frac{1}{3 ^{19} \times 2 ^{20}})^{0}

Solution

x = 0

Solve the equation