What is the answer to ((2^x*3^x))/((12^x))= 1/8 ?

The answer to ((2^x*3^x))/((12^x))= 1/8 is x=3

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((2^x*3^x))/((12^x))= 1/8

\frac{( 2 ^{x} \cdot 3 ^{x} )}{( 1 2 ^{x} )} = \frac{1}{8}

x = 3

Solution steps

\frac{( 2 ^{x} \cdot 3 ^{x} )}{( 1 2 ^{x} )} = \frac{1}{8}

Apply exponent rules

(x + lo g_{6} (12) (- x)) ln (6) = ln (\frac{1}{8})

Solve

(x + lo g_{6} (12) (- x)) ln (6) = ln (\frac{1}{8}) : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

32 = 8^{x}

4^{3 x - 1} = 5^{x + 1}

1 0^{x} = 3 - 2 x

n, p (x + 1) - p = x^{n}

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

What is the answer to ((2^x*3^x))/((12^x))= 1/8 ?
The answer to ((2^x*3^x))/((12^x))= 1/8 is x=3
Solve for x: ((2^x*3^x))/((12^x))= 1/8
The solution is x=3