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

The answer to 7^{9x-2}=10^{2x-2} is x=(-2ln(10)+2ln(7))/(9ln(7)-2ln(10))

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

The solution is x=(-2ln(10)+2ln(7))/(9ln(7)-2ln(10))

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7^{9 x - 2} = 1 0^{2 x - 2}

x = \frac{- 2 ln ( 10 ) + 2 ln ( 7 )}{9 ln ( 7 ) - 2 ln ( 10 )}

Decimal

x = - 0.05526 \dots

Solution steps

7^{9 x - 2} = 1 0^{2 x - 2}

Apply exponent rules

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

Solve

(9 x - 2) ln (7) = (2 x - 2) ln (10) : x = \frac{- 2 ln ( 10 ) + 2 ln ( 7 )}{9 ln ( 7 ) - 2 ln ( 10 )}

x = \frac{- 2 ln ( 10 ) + 2 ln ( 7 )}{9 ln ( 7 ) - 2 ln ( 10 )}

4^{3 x} = 8

56 \cdot 2^{2 x} = 22

27 \times 3^{x} = 1

k, n = 2^{k}

e^{3 x} - 3 e^{- 3 x} = 0

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