What is the answer to 7^{5x+4}=56 ?

The answer to 7^{5x+4}=56 is x=(3ln(2/7))/(5ln(7))

Solve for x: 7^{5x+4}=56

The solution is x=(3ln(2/7))/(5ln(7))

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7^{5 x + 4} = 56

x = \frac{3 ln ( \frac{2}{7} )}{5 ln ( 7 )}

Decimal Notation

x = - 0.38627 \dots

Solution steps

7^{5 x + 4} = 56

Apply exponent rules

(5 x + 4) ln (7) = ln (56)

Solve

(5 x + 4) ln (7) = ln (56) : x = \frac{3 ln ( \frac{2}{7} )}{5 ln ( 7 )}

x = \frac{3 ln ( \frac{2}{7} )}{5 ln ( 7 )}

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

2^{n} = 4^{p} \cdot 8^{n}

e^{x} + 2 = 8 e^{- x}

1 2^{x - 2} = 2^{2 x - 4}

2 e^{2 y} = \frac{e ^{2 y}}{2}

What is the answer to 7^{5x+4}=56 ?
The answer to 7^{5x+4}=56 is x=(3ln(2/7))/(5ln(7))
Solve for x: 7^{5x+4}=56
The solution is x=(3ln(2/7))/(5ln(7))