What is the answer to 4^{3x+5}=8^{4x-3} ?

The answer to 4^{3x+5}=8^{4x-3} is x= 19/6

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4^{3x+5}=8^{4x-3}

4^{3 x + 5} = 8^{4 x - 3}

x = \frac{19}{6}

Decimal Notation

x = 3.16666 \dots

Solution steps

4^{3 x + 5} = 8^{4 x - 3}

Apply exponent rules

2 (3 x + 5) = 3 (4 x - 3)

Solve

2 (3 x + 5) = 3 (4 x - 3) : x = \frac{19}{6}

x = \frac{19}{6}

3^{x} - 12 + 27 \cdot 3^{- x} = 0

9^{4 x} = \frac{1}{27}

3^{x^{2}} \cdot 3 = 3

7^{2 x - 1} = 295

e^{x} - 1 = 6

What is the answer to 4^{3x+5}=8^{4x-3} ?
The answer to 4^{3x+5}=8^{4x-3} is x= 19/6
Solve for x: 4^{3x+5}=8^{4x-3}
The solution is x= 19/6