What is the answer to 4^x\times 3^{2x}=6 ?

The answer to 4^x\times 3^{2x}=6 is x= 1/2

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4^x\times 3^{2x}=6

4^{x} \cdot 3^{2 x} = 6

x = \frac{1}{2}

Decimal

x = 0.5

Solution steps

4^{x} \cdot 3^{2 x} = 6

Apply exponent rules

(lo g_{3} (4) x + 2 x) ln (3) = ln (6)

Solve

(lo g_{3} (4) x + 2 x) ln (3) = ln (6) : x = \frac{1}{2}

x = \frac{1}{2}

5 x = 4^{x + 1}

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

5^{x} = 55

5^{x} = 31

5^{x^{2} + 2 x} = 125

What is the answer to 4^x\times 3^{2x}=6 ?
The answer to 4^x\times 3^{2x}=6 is x= 1/2
Solve for x: 4^x\times 3^{2x}=6
The solution is x= 1/2