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Popular >

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

Solution

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

Solution

x = \frac{3}{4}

+1

Decimal Notation

x = 0.75

Solution steps

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

Apply exponent rules

2 x = 3 (2 - 2 x)

Solve

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

x = \frac{3}{4}

Popular Examples

e^{x-1}=e^{2(x+1)}

e^{x - 1} = e^{2 (x + 1)}

4^{x-1}+2^{x+2}=48

4^{x - 1} + 2^{x + 2} = 48

(1/2)^{3a}=2^{3a+3}

(\frac{1}{2})^{3 a} = 2^{3 a + 3}

2^{x-2}= 8/(2^{x-3)}

2^{x - 2} = \frac{8}{2 ^{x - 3}}

5^{2x}-6*5^x+5=0

5^{2 x} - 6 \cdot 5^{x} + 5 = 0

Frequently Asked Questions (FAQ)

What is the answer to 9^x=27^{2-2x} ?
The answer to 9^x=27^{2-2x} is x= 3/4
Solve for x: 9^x=27^{2-2x}
The solution is x= 3/4