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

The answer to 4^{x+3}=8^{3x-4} is x= 18/7

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

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

x = \frac{18}{7}

Decimal Notation

x = 2.57142 \dots

Solution steps

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

Apply exponent rules

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

Solve

2 (x + 3) = 3 (3 x - 4) : x = \frac{18}{7}

x = \frac{18}{7}

3^{2 x - 3} = 6

2^{x - 3} = 5

9 (5^{x}) = 8^{x + 4}

5^{6 x + 1} - 6 \cdot 5^{3 x} + 1 = 0

(2)^{x} = 16

What is the answer to 4^{x+3}=8^{3x-4} ?
The answer to 4^{x+3}=8^{3x-4} is x= 18/7
Solve for x: 4^{x+3}=8^{3x-4}
The solution is x= 18/7