What is the answer to 4^x*4^{2x-8}=64 ?

The answer to 4^x*4^{2x-8}=64 is x= 11/3

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4^x*4^{2x-8}=64

4^{x} \cdot 4^{2 x - 8} = 64

x = \frac{11}{3}

Decimal Notation

x = 3.66666 \dots

Solution steps

4^{x} \cdot 4^{2 x - 8} = 64

Apply exponent rules

3 x - 8 = 3

Solve

3 x - 8 = 3 : x = \frac{11}{3}

x = \frac{11}{3}

(\frac{1}{4})^{3 - x} = 64

2 5^{x} + 125 = 5^{x + 1}

100 0^{1000} = 10 0^{x}

\frac{3 ^{x}}{2} = 27

5^{2 x - 1} = 4^{300}

What is the answer to 4^x*4^{2x-8}=64 ?
The answer to 4^x*4^{2x-8}=64 is x= 11/3
Solve for x: 4^x*4^{2x-8}=64
The solution is x= 11/3