What is the answer to 4^{x+5}=16^{5x-1} ?

The answer to 4^{x+5}=16^{5x-1} is x= 7/9

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4^{x+5}=16^{5x-1}

4^{x + 5} = 1 6^{5 x - 1}

x = \frac{7}{9}

Decimal Notation

x = 0.77777 \dots

Solution steps

4^{x + 5} = 1 6^{5 x - 1}

Apply exponent rules

x + 5 = 2 (5 x - 1)

Solve

x + 5 = 2 (5 x - 1) : x = \frac{7}{9}

x = \frac{7}{9}

(9^{5 x}) (3^{2 x - 2}) = 27

3^{x^{2} - 5} - 9^{x - 1} = 0

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

3^{(5 x - 3)} = 2 7^{(x + 1)}

e^{x} - e^{b - x} = c

What is the answer to 4^{x+5}=16^{5x-1} ?
The answer to 4^{x+5}=16^{5x-1} is x= 7/9
Solve for x: 4^{x+5}=16^{5x-1}
The solution is x= 7/9