What is the answer to 9^{5x+5}=8^{9x-5} ?

The answer to 9^{5x+5}=8^{9x-5} is x=(15ln(2)+10ln(3))/(27ln(2)-10ln(3))

Solve for x: 9^{5x+5}=8^{9x-5}

The solution is x=(15ln(2)+10ln(3))/(27ln(2)-10ln(3))

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9^{5 x + 5} = 8^{9 x - 5}

x = \frac{15 ln ( 2 ) + 10 ln ( 3 )}{27 ln ( 2 ) - 10 ln ( 3 )}

Decimal Notation

x = 2.76668 \dots

Solution steps

9^{5 x + 5} = 8^{9 x - 5}

Apply exponent rules

(5 x + 5) ln (9) = (9 x - 5) ln (8)

Solve

(5 x + 5) ln (9) = (9 x - 5) ln (8) : x = \frac{15 ln ( 2 ) + 10 ln ( 3 )}{27 ln ( 2 ) - 10 ln ( 3 )}

x = \frac{15 ln ( 2 ) + 10 ln ( 3 )}{27 ln ( 2 ) - 10 ln ( 3 )}

e^{1 - x} = e^{1} e^{- x}

1 0^{2 - 2 x} = 2 \cdot 1 0^{- x}

2^{x} + 3 \cdot 2^{x} = 64

4^{x + 5} = 4^{3 x - 2}

43 = 72 + (39 - 72) e^{k \cdot 1}

What is the answer to 9^{5x+5}=8^{9x-5} ?
The answer to 9^{5x+5}=8^{9x-5} is x=(15ln(2)+10ln(3))/(27ln(2)-10ln(3))
Solve for x: 9^{5x+5}=8^{9x-5}
The solution is x=(15ln(2)+10ln(3))/(27ln(2)-10ln(3))