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

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

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

The solution is x=(4ln(3))/(3(2ln(10)-ln(3)))

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1 0^{6 x} = 3^{3 x + 4}

x = \frac{4 ln ( 3 )}{3 ( 2 ln ( 10 ) - ln ( 3 ) )}

Decimal

x = 0.41773 \dots

Solution steps

1 0^{6 x} = 3^{3 x + 4}

Apply exponent rules

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

Solve

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

x = \frac{4 ln ( 3 )}{3 ( 2 ln ( 10 ) - ln ( 3 ) )}

6^{x} = 60

6^{x} = 18

3^{2 n - 2} = 9

0. 1^{11 - x} = 1 0^{2 x - 5}

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

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