What is the answer to 8^{4x+1}=4^{3x+5} ?

The answer to 8^{4x+1}=4^{3x+5} is x= 7/6

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8^{4x+1}=4^{3x+5}

8^{4 x + 1} = 4^{3 x + 5}

x = \frac{7}{6}

Decimal Notation

x = 1.16666 \dots

Solution steps

8^{4 x + 1} = 4^{3 x + 5}

Apply exponent rules

3 (4 x + 1) = 2 (3 x + 5)

Solve

3 (4 x + 1) = 2 (3 x + 5) : x = \frac{7}{6}

x = \frac{7}{6}

5^{2 x + 5} = \frac{1}{5 ^{3 - x}}

- 14 (1 - 2^{x}) = 117638

t, x = e^{3 t}

500 = (30 e^{t})

4^{3 x} + 8^{x} - 6 = 0

What is the answer to 8^{4x+1}=4^{3x+5} ?
The answer to 8^{4x+1}=4^{3x+5} is x= 7/6
Solve for x: 8^{4x+1}=4^{3x+5}
The solution is x= 7/6