What is the answer to (3^{10})/(9^x)=27^6 ?

The answer to (3^{10})/(9^x)=27^6 is x=-4

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(3^{10})/(9^x)=27^6

\frac{3 ^{10}}{9 ^{x}} = 2 7^{6}

x = - 4

Solution steps

\frac{3 ^{10}}{9 ^{x}} = 2 7^{6}

Apply exponent rules

- x = 4

Solve

- x = 4 : x = - 4

x = - 4

Verify Solutions:

x = - 4

True

The solution is

x = - 4

6^{2 x - 4} = 1

4^{x} = 37

4^{x} = 28

4^{x} = 19

3^{a} = \frac{1}{9}

What is the answer to (3^{10})/(9^x)=27^6 ?
The answer to (3^{10})/(9^x)=27^6 is x=-4
Solve for x: (3^{10})/(9^x)=27^6
The solution is x=-4