What is the answer to 16^{2x-3}=4^{x+2} ?

The answer to 16^{2x-3}=4^{x+2} is x= 8/3

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16^{2x-3}=4^{x+2}

1 6^{2 x - 3} = 4^{x + 2}

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

1 6^{2 x - 3} = 4^{x + 2}

Apply exponent rules

2 (2 x - 3) = x + 2

Solve

2 (2 x - 3) = x + 2 : x = \frac{8}{3}

x = \frac{8}{3}

3^{- x + 4} = 81

8^{1 - 5 x} = 9

2^{5 x - 3} = 10

\frac{e ^{x} - 2}{3} = e^{2 x} - 4

1 6^{x} = \frac{1}{64}

What is the answer to 16^{2x-3}=4^{x+2} ?
The answer to 16^{2x-3}=4^{x+2} is x= 8/3
Solve for x: 16^{2x-3}=4^{x+2}
The solution is x= 8/3