What is the answer to 2^{x+4}*1/(8^x)=1 ?

The answer to 2^{x+4}*1/(8^x)=1 is x=2

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2^{x+4}*1/(8^x)=1

2^{x + 4} \cdot \frac{1}{8 ^{x}} = 1

x = 2

Solution steps

2^{x + 4} \cdot \frac{1}{8 ^{x}} = 1

Apply exponent rules

(x + 4 + 3 (- x)) ln (2) = ln (1)

Solve

(x + 4 + 3 (- x)) ln (2) = ln (1) : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

3^{2 x + 3} = 3^{(x^{2})}

e^{2 x} = 42

0. 5^{x} = 1.5

16 = 6 4^{k}

12 5^{- x} = 2 5^{3 x}

What is the answer to 2^{x+4}*1/(8^x)=1 ?
The answer to 2^{x+4}*1/(8^x)=1 is x=2
Solve for x: 2^{x+4}*1/(8^x)=1
The solution is x=2