What is the answer to 2^{5x+4}=6 ?

The answer to 2^{5x+4}=6 is x=(ln(3/8))/(5ln(2))

Solve for x: 2^{5x+4}=6

The solution is x=(ln(3/8))/(5ln(2))

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2^{5 x + 4} = 6

x = \frac{ln ( \frac{3}{8} )}{5 ln ( 2 )}

Decimal Notation

x = - 0.28300 \dots

Solution steps

2^{5 x + 4} = 6

Apply exponent rules

(5 x + 4) ln (2) = ln (6)

Solve

(5 x + 4) ln (2) = ln (6) : x = \frac{ln ( \frac{3}{8} )}{5 ln ( 2 )}

x = \frac{ln ( \frac{3}{8} )}{5 ln ( 2 )}

4 = (\frac{1}{2})^{x}

1 5^{2 x + 3} = 1 5^{x - 7}

3 e^{x} = 1 - 2 e^{0.5 x}

5 = 5^{x + 4}

e^{x + 1} = 0

What is the answer to 2^{5x+4}=6 ?
The answer to 2^{5x+4}=6 is x=(ln(3/8))/(5ln(2))
Solve for x: 2^{5x+4}=6
The solution is x=(ln(3/8))/(5ln(2))