What is the answer to 9^{x+2}=81^{5x-4} ?

The answer to 9^{x+2}=81^{5x-4} is x= 10/9

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9^{x+2}=81^{5x-4}

9^{x + 2} = 8 1^{5 x - 4}

x = \frac{10}{9}

Decimal Notation

x = 1.11111 \dots

Solution steps

9^{x + 2} = 8 1^{5 x - 4}

Apply exponent rules

x + 2 = 2 (5 x - 4)

Solve

x + 2 = 2 (5 x - 4) : x = \frac{10}{9}

x = \frac{10}{9}

204800 = 25 \cdot 2^{x}

ln (e^{2 x}) = 60

b, a^{2 b} = c

x, 6^{x + 2} = 5^{x - 2}

8^{x} = 2^{3 x}

What is the answer to 9^{x+2}=81^{5x-4} ?
The answer to 9^{x+2}=81^{5x-4} is x= 10/9
Solve for x: 9^{x+2}=81^{5x-4}
The solution is x= 10/9