Solve 3125^(4)=625^(x 1) - ScanMath

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Type your math problem... 3125^(4)=625^(x 1)

x

Question

Solve the equation

x = 5

Evaluate

312 5^{4} = 62 5^{x \times 1}

Any expression multiplied by 1 remains the same

312 5^{4} = 62 5^{x}

Swap the sides of the equation

62 5^{x} = 312 5^{4}

Rewrite in exponential form

5^{4 x} = 5^{20}

Since the bases are the same,set the exponents equal

4 x = 20

Divide both sides

\frac{4 x}{4} = \frac{20}{4}

Divide the numbers

x = \frac{20}{4}

Solution

More Steps

Evaluate

\frac{20}{4}

Reduce the numbers

\frac{5}{1}

Calculate

5

x = 5

Show Solution

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