What is the answer to ((8^x)^x)/(32^x)=4 ?

The answer to ((8^x)^x)/(32^x)=4 is x=2,x=-1/3

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((8^x)^x)/(32^x)=4

\frac{( 8 ^{x} ) ^{x}}{3 2 ^{x}} = 4

x = 2, x = - \frac{1}{3}

Decimal Notation

x = 2, x = - 0.33333 \dots

Solution steps

\frac{( 8 ^{x} ) ^{x}}{3 2 ^{x}} = 4

Apply exponent rules

5 (\frac{3 xx}{5} - x) = 2

Solve

5 (\frac{3 xx}{5} - x) = 2 : x = 2, x = - \frac{1}{3}

x = 2, x = - \frac{1}{3}

Verify Solutions:

x = 2

True

, x = - \frac{1}{3}

True

The solutions are

x = 2, x = - \frac{1}{3}

28 \cdot 3^{5 x} = 252

5 \cdot 6^{x + 7} = 8 \cdot 9^{x - 10}

x, e^{3 x} = 5

5 \cdot 7^{2 y} = 175

4^{3 x - 2} = 7^{x + 3}

What is the answer to ((8^x)^x)/(32^x)=4 ?
The answer to ((8^x)^x)/(32^x)=4 is x=2,x=-1/3
Solve for x: ((8^x)^x)/(32^x)=4
The solution is x=2,x=-1/3