What is the answer to 7^{3x-2}=10^{2x} ?

The answer to 7^{3x-2}=10^{2x} is x=(2ln(7))/(3ln(7)-2ln(10))

Solve for x: 7^{3x-2}=10^{2x}

The solution is x=(2ln(7))/(3ln(7)-2ln(10))

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7^{3 x - 2} = 1 0^{2 x}

x = \frac{2 ln ( 7 )}{3 ln ( 7 ) - 2 ln ( 10 )}

Solution steps

7^{3 x - 2} = 1 0^{2 x}

Apply exponent rules

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

Solve

(3 x - 2) ln (7) = 2 x ln (10) : x = \frac{2 ln ( 7 )}{3 ln ( 7 ) - 2 ln ( 10 )}

x = \frac{2 ln ( 7 )}{3 ln ( 7 ) - 2 ln ( 10 )}

2 5^{x + 3} = 12 5^{x}

4^{x + 5} = 6

3^{x} = (\frac{1}{9})^{2 x - 10}

17 \cdot 1 0^{2 x} = 136

e^{3 - 4 x} = 9

What is the answer to 7^{3x-2}=10^{2x} ?
The answer to 7^{3x-2}=10^{2x} is x=(2ln(7))/(3ln(7)-2ln(10))
Solve for x: 7^{3x-2}=10^{2x}
The solution is x=(2ln(7))/(3ln(7)-2ln(10))