What is the answer to 8^{5x-7}=9^{2x-3} ?

The answer to 8^{5x-7}=9^{2x-3} is x=(-6ln(3)+21ln(2))/(15ln(2)-4ln(3))

Solve for x: 8^{5x-7}=9^{2x-3}

The solution is x=(-6ln(3)+21ln(2))/(15ln(2)-4ln(3))

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8^{5 x - 7} = 9^{2 x - 3}

x = \frac{- 6 ln ( 3 ) + 21 ln ( 2 )}{15 ln ( 2 ) - 4 ln ( 3 )}

Decimal Notation

x = 1.32679 \dots

Solution steps

8^{5 x - 7} = 9^{2 x - 3}

Apply exponent rules

(5 x - 7) ln (8) = (2 x - 3) ln (9)

Solve

(5 x - 7) ln (8) = (2 x - 3) ln (9) : x = \frac{- 6 ln ( 3 ) + 21 ln ( 2 )}{15 ln ( 2 ) - 4 ln ( 3 )}

x = \frac{- 6 ln ( 3 ) + 21 ln ( 2 )}{15 ln ( 2 ) - 4 ln ( 3 )}

0.2 = (\frac{4}{5})^{x}

2^{x + 2} - 3 x (2^{x - 1}) = 20

(1 + x) \cdot 4 = 2^{x}

2187 = \frac{3 ^{n} - 1}{2}

What is the answer to 8^{5x-7}=9^{2x-3} ?
The answer to 8^{5x-7}=9^{2x-3} is x=(-6ln(3)+21ln(2))/(15ln(2)-4ln(3))
Solve for x: 8^{5x-7}=9^{2x-3}
The solution is x=(-6ln(3)+21ln(2))/(15ln(2)-4ln(3))