What is the answer to (1/16)^x=(1/8)^6 ?

The answer to (1/16)^x=(1/8)^6 is x= 9/2

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(1/16)^x=(1/8)^6

(\frac{1}{16})^{x} = (\frac{1}{8})^{6}

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

(\frac{1}{16})^{x} = (\frac{1}{8})^{6}

Apply exponent rules

x ln (\frac{1}{16}) = 6 ln (\frac{1}{8})

Solve

x ln (\frac{1}{16}) = 6 ln (\frac{1}{8}) : x = \frac{9}{2}

x = \frac{9}{2}

3^{x + 1} = 81

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

e^{2} x - e^{x} = 56

4^{7 x - 3} = 5^{2 x + 9}

74 = \frac{10 + 250 ( 0.6 ) ^{t}}{8}

What is the answer to (1/16)^x=(1/8)^6 ?
The answer to (1/16)^x=(1/8)^6 is x= 9/2
Solve for x: (1/16)^x=(1/8)^6
The solution is x= 9/2