What is the answer to 2^{9x+2}=16^{5x-2} ?

The answer to 2^{9x+2}=16^{5x-2} is x= 10/11

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2^{9x+2}=16^{5x-2}

2^{9 x + 2} = 1 6^{5 x - 2}

x = \frac{10}{11}

Decimal Notation

x = 0.90909 \dots

Solution steps

2^{9 x + 2} = 1 6^{5 x - 2}

Apply exponent rules

9 x + 2 = 4 (5 x - 2)

Solve

9 x + 2 = 4 (5 x - 2) : x = \frac{10}{11}

x = \frac{10}{11}

e^{x} = 12

4^{x} = 9

3^{3 x - 2} = 9^{4 x - 1}

12 5^{x} = 25

2^{x + 2} + 7 = \frac{1}{2 ^{x - 1}}

What is the answer to 2^{9x+2}=16^{5x-2} ?
The answer to 2^{9x+2}=16^{5x-2} is x= 10/11
Solve for x: 2^{9x+2}=16^{5x-2}
The solution is x= 10/11