What is the answer to 6^{2x-1}+180=6^{2x} ?

The answer to 6^{2x-1}+180=6^{2x} is x= 3/2

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6^{2x-1}+180=6^{2x}

6^{2 x - 1} + 180 = 6^{2 x}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

6^{2 x - 1} + 180 = 6^{2 x}

Apply exponent rules

2 x = 3

Solve

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

x = \frac{3}{2}

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

2 (2^{2 x}) + 4 = 9 (2^{x})

\frac{40}{1 + e ^{- x}} = 2

e^{x} - 2 e^{- x} - 1 = 0

1 1^{x - 8} - 11 = 48

What is the answer to 6^{2x-1}+180=6^{2x} ?
The answer to 6^{2x-1}+180=6^{2x} is x= 3/2
Solve for x: 6^{2x-1}+180=6^{2x}
The solution is x= 3/2