What is the answer to 17*10^{2x}=136 ?

The answer to 17*10^{2x}=136 is x=(3ln(2))/(2ln(10))

Solve for x: 17*10^{2x}=136

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

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

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

Decimal Notation

x = 0.45154 \dots

Solution steps

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

Divide both sides by

17

1 0^{2 x} = 8

Apply exponent rules

2 x ln (10) = ln (8)

Solve

2 x ln (10) = ln (8) : x = \frac{3 ln ( 2 )}{2 ln ( 10 )}

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

e^{3 - 4 x} = 9

4^{y} = \frac{1}{8}

5 (m e^{m x}) = 2 (e^{m x})

729 = 3^{n - 1}

0 = 2^{x + 1}

What is the answer to 17*10^{2x}=136 ?
The answer to 17*10^{2x}=136 is x=(3ln(2))/(2ln(10))
Solve for x: 17*10^{2x}=136
The solution is x=(3ln(2))/(2ln(10))