What is the answer to ((2/3)^x*1)/(((2/3)^4))=1 ?

The answer to ((2/3)^x*1)/(((2/3)^4))=1 is x=4

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((2/3)^x*1)/(((2/3)^4))=1

\frac{( \frac{2}{3} ) ^{x} \cdot 1}{( ( \frac{2}{3} ) ^{4} )} = 1

x = 4

Solution steps

\frac{( \frac{2}{3} ) ^{x} \cdot 1}{( ( \frac{2}{3} ) ^{4} )} = 1

Apply exponent rules

(x - 4) ln (\frac{2}{3}) = ln (1)

Solve

(x - 4) ln (\frac{2}{3}) = ln (1) : x = 4

x = 4

4^{x} = 2

x, 3^{x} + \frac{1}{3} y = \frac{10}{3}

16 = \frac{( 2 ^{3 n + 1} + 2 ^{n + 2} )}{( 2 + 4 ^{n} )}

5^{n + 1} + 5^{2 - n} = 5^{3} + 1

e^{2} x - 6 e^{x} + 5 = 0

What is the answer to ((2/3)^x*1)/(((2/3)^4))=1 ?
The answer to ((2/3)^x*1)/(((2/3)^4))=1 is x=4
Solve for x: ((2/3)^x*1)/(((2/3)^4))=1
The solution is x=4