What is the answer to 8^{10x-6}=9^{7x-2} ?

The answer to 8^{10x-6}=9^{7x-2} is x=(-4ln(3)+18ln(2))/(2(15ln(2)-7ln(3)))

Solve for x: 8^{10x-6}=9^{7x-2}

The solution is x=(-4ln(3)+18ln(2))/(2(15ln(2)-7ln(3)))

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8^{10 x - 6} = 9^{7 x - 2}

x = \frac{- 4 ln ( 3 ) + 18 ln ( 2 )}{2 ( 15 ln ( 2 ) - 7 ln ( 3 ) )}

Decimal Notation

x = 1.49287 \dots

Solution steps

8^{10 x - 6} = 9^{7 x - 2}

Apply exponent rules

(10 x - 6) ln (8) = (7 x - 2) ln (9)

Solve

(10 x - 6) ln (8) = (7 x - 2) ln (9) : x = \frac{- 4 ln ( 3 ) + 18 ln ( 2 )}{2 ( 15 ln ( 2 ) - 7 ln ( 3 ) )}

x = \frac{- 4 ln ( 3 ) + 18 ln ( 2 )}{2 ( 15 ln ( 2 ) - 7 ln ( 3 ) )}

25 = 75 (0.5)^{\frac{x}{9}}

0.46 = e^{- x \cdot 1000}

256 e^{2 x} = 1400

2^{x^{2} - 7 x + 16} = 16

8 1^{p} = 3

What is the answer to 8^{10x-6}=9^{7x-2} ?
The answer to 8^{10x-6}=9^{7x-2} is x=(-4ln(3)+18ln(2))/(2(15ln(2)-7ln(3)))
Solve for x: 8^{10x-6}=9^{7x-2}
The solution is x=(-4ln(3)+18ln(2))/(2(15ln(2)-7ln(3)))