What is the answer to 9^{x-4}=27^{5-2x} ?

The answer to 9^{x-4}=27^{5-2x} is x= 23/8

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9^{x-4}=27^{5-2x}

9^{x - 4} = 2 7^{5 - 2 x}

x = \frac{23}{8}

Decimal Notation

x = 2.875

Solution steps

9^{x - 4} = 2 7^{5 - 2 x}

Apply exponent rules

2 (x - 4) = 3 (5 - 2 x)

Solve

2 (x - 4) = 3 (5 - 2 x) : x = \frac{23}{8}

x = \frac{23}{8}

2^{x} \cdot 4^{x + 1} = 0.5

3^{2 x - 3} = 81

3^{n - 1} = 243

4^{- x - 3} = 8

5^{x^{2} + 2 x} = 1

What is the answer to 9^{x-4}=27^{5-2x} ?
The answer to 9^{x-4}=27^{5-2x} is x= 23/8
Solve for x: 9^{x-4}=27^{5-2x}
The solution is x= 23/8