What is the answer to 5^x=25^{10x-8} ?

The answer to 5^x=25^{10x-8} is x= 16/19

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5^x=25^{10x-8}

5^{x} = 2 5^{10 x - 8}

x = \frac{16}{19}

Decimal Notation

x = 0.84210 \dots

Solution steps

5^{x} = 2 5^{10 x - 8}

Apply exponent rules

x = 2 (10 x - 8)

Solve

x = 2 (10 x - 8) : x = \frac{16}{19}

x = \frac{16}{19}

2^{x^{2} + 7 x} = 8^{- 4}

x, 2 = e^{x y}

x, ln (e^{x} - 3) = 2

2^{x^{2} - 4 x - 12} = 8^{x + 2}

12 1^{2 x} = 1 1^{x + 3}