What is the answer to 10^{4x-8}=6^{10x+3} ?

The answer to 10^{4x-8}=6^{10x+3} is x=(3ln(6)+8ln(10))/(2ln(25/1944))

Solve for x: 10^{4x-8}=6^{10x+3}

The solution is x=(3ln(6)+8ln(10))/(2ln(25/1944))

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1 0^{4 x - 8} = 6^{10 x + 3}

x = \frac{3 ln ( 6 ) + 8 ln ( 10 )}{2 ln ( \frac{25}{1944} )}

Decimal Notation

x = - 2.73288 \dots

Solution steps

1 0^{4 x - 8} = 6^{10 x + 3}

Apply exponent rules

(4 x - 8) ln (10) = (10 x + 3) ln (6)

Solve

(4 x - 8) ln (10) = (10 x + 3) ln (6) : x = \frac{3 ln ( 6 ) + 8 ln ( 10 )}{2 ln ( \frac{25}{1944} )}

x = \frac{3 ln ( 6 ) + 8 ln ( 10 )}{2 ln ( \frac{25}{1944} )}

3^{x + 2} = 18

1.1 2^{x} = 2

8000 = 500 e^{l n (\frac{12}{5}) t}

4^{3 x - 5} = \frac{1}{256}

3000 = 3 \cdot 1 0^{x}

What is the answer to 10^{4x-8}=6^{10x+3} ?
The answer to 10^{4x-8}=6^{10x+3} is x=(3ln(6)+8ln(10))/(2ln(25/1944))
Solve for x: 10^{4x-8}=6^{10x+3}
The solution is x=(3ln(6)+8ln(10))/(2ln(25/1944))