What is the answer to (4^{4x})/(4^{x+2)}=16 ?

The answer to (4^{4x})/(4^{x+2)}=16 is x= 4/3

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(4^{4x})/(4^{x+2)}=16

\frac{4 ^{4 x}}{4 ^{x + 2}} = 16

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

\frac{4 ^{4 x}}{4 ^{x + 2}} = 16

Apply exponent rules

3 x - 2 = 2

Solve

3 x - 2 = 2 : x = \frac{4}{3}

x = \frac{4}{3}

Verify Solutions:

x = \frac{4}{3}

True

The solution is

x = \frac{4}{3}

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

4^{m + 1} = \frac{1}{8 2}

6 4^{x + 1} = 4^{x + 7}

A = 50 e^{0.07 \cdot t}

What is the answer to (4^{4x})/(4^{x+2)}=16 ?
The answer to (4^{4x})/(4^{x+2)}=16 is x= 4/3
Solve for x: (4^{4x})/(4^{x+2)}=16
The solution is x= 4/3